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Finding the Fourth Proportional to 25,500.40, 38,240.92 and 9,914.48

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Solution

The fourth proportional to 25,500.40, 38,240.92 and 9,914.48 is: 14,867.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,500.40 : 38,240.92 = 9,914.48 : x
  2. Step 2: Convert to fraction form
    25,500.40/38,240.92 = 9,914.48/x
  3. Step 3: Cross multiply
    25,500.40x = 38,240.92 × 9,914.48
  4. Step 4: Simplify right side
    25,500.40x = 379,138,836.52
  5. Step 5: Solve for x
    x = 379,138,836.52/25,500.40
  6. Step 6: Final answer
    x = 14,867.96

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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.