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Finding the Fourth Proportional to 25,772.20, 38,648.22 and 9,125.80

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Solution

The fourth proportional to 25,772.20, 38,648.22 and 9,125.80 is: 13,685.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,772.20 : 38,648.22 = 9,125.80 : x
  2. Step 2: Convert to fraction form
    25,772.20/38,648.22 = 9,125.80/x
  3. Step 3: Cross multiply
    25,772.20x = 38,648.22 × 9,125.80
  4. Step 4: Simplify right side
    25,772.20x = 352,695,926.08
  5. Step 5: Solve for x
    x = 352,695,926.08/25,772.20
  6. Step 6: Final answer
    x = 13,685.13

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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.