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Finding the Fourth Proportional to 17,502.59, 26,142.29 and 15,834.14

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Solution

The fourth proportional to 17,502.59, 26,142.29 and 15,834.14 is: 23,650.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,502.59 : 26,142.29 = 15,834.14 : x
  2. Step 2: Convert to fraction form
    17,502.59/26,142.29 = 15,834.14/x
  3. Step 3: Cross multiply
    17,502.59x = 26,142.29 × 15,834.14
  4. Step 4: Simplify right side
    17,502.59x = 413,940,469.90
  5. Step 5: Solve for x
    x = 413,940,469.90/17,502.59
  6. Step 6: Final answer
    x = 23,650.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.