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Finding the Fourth Proportional to 25,142.40, 37,713.60 and 16,387.20

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Solution

The fourth proportional to 25,142.40, 37,713.60 and 16,387.20 is: 24,580.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,142.40 : 37,713.60 = 16,387.20 : x
  2. Step 2: Convert to fraction form
    25,142.40/37,713.60 = 16,387.20/x
  3. Step 3: Cross multiply
    25,142.40x = 37,713.60 × 16,387.20
  4. Step 4: Simplify right side
    25,142.40x = 618,020,305.92
  5. Step 5: Solve for x
    x = 618,020,305.92/25,142.40
  6. Step 6: Final answer
    x = 24,580.80

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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.