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Finding the Fourth Proportional to 17,342.10, 25,971.22 and 9,924.07

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Solution

The fourth proportional to 17,342.10, 25,971.22 and 9,924.07 is: 14,862.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,342.10 : 25,971.22 = 9,924.07 : x
  2. Step 2: Convert to fraction form
    17,342.10/25,971.22 = 9,924.07/x
  3. Step 3: Cross multiply
    17,342.10x = 25,971.22 × 9,924.07
  4. Step 4: Simplify right side
    17,342.10x = 257,740,145.62
  5. Step 5: Solve for x
    x = 257,740,145.62/17,342.10
  6. Step 6: Final answer
    x = 14,862.11

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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.