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Finding the Fourth Proportional to 17,314.14, 25,971.22 and 9,913.44

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Solution

The fourth proportional to 17,314.14, 25,971.22 and 9,913.44 is: 14,870.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,314.14 : 25,971.22 = 9,913.44 : x
  2. Step 2: Convert to fraction form
    17,314.14/25,971.22 = 9,913.44/x
  3. Step 3: Cross multiply
    17,314.14x = 25,971.22 × 9,913.44
  4. Step 4: Simplify right side
    17,314.14x = 257,464,131.20
  5. Step 5: Solve for x
    x = 257,464,131.20/17,314.14
  6. Step 6: Final answer
    x = 14,870.17

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.