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Finding the Fourth Proportional to 17,314.24, 25,971.13 and 8,428.18

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Solution

The fourth proportional to 17,314.24, 25,971.13 and 8,428.18 is: 12,642.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,314.24 : 25,971.13 = 8,428.18 : x
  2. Step 2: Convert to fraction form
    17,314.24/25,971.13 = 8,428.18/x
  3. Step 3: Cross multiply
    17,314.24x = 25,971.13 × 8,428.18
  4. Step 4: Simplify right side
    17,314.24x = 218,889,358.44
  5. Step 5: Solve for x
    x = 218,889,358.44/17,314.24
  6. Step 6: Final answer
    x = 12,642.16

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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.