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Finding the Fourth Proportional to 25,127.50, 37,708.53 and 8,711.50

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Solution

The fourth proportional to 25,127.50, 37,708.53 and 8,711.50 is: 13,073.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,127.50 : 37,708.53 = 8,711.50 : x
  2. Step 2: Convert to fraction form
    25,127.50/37,708.53 = 8,711.50/x
  3. Step 3: Cross multiply
    25,127.50x = 37,708.53 × 8,711.50
  4. Step 4: Simplify right side
    25,127.50x = 328,497,859.10
  5. Step 5: Solve for x
    x = 328,497,859.10/25,127.50
  6. Step 6: Final answer
    x = 13,073.24

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