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Finding the Fourth Proportional to 25,142.38, 37,718.43 and 8,505.12

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Solution

The fourth proportional to 25,142.38, 37,718.43 and 8,505.12 is: 12,759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,142.38 : 37,718.43 = 8,505.12 : x
  2. Step 2: Convert to fraction form
    25,142.38/37,718.43 = 8,505.12/x
  3. Step 3: Cross multiply
    25,142.38x = 37,718.43 × 8,505.12
  4. Step 4: Simplify right side
    25,142.38x = 320,799,584.77
  5. Step 5: Solve for x
    x = 320,799,584.77/25,142.38
  6. Step 6: Final answer
    x = 12,759.32

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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.