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Finding the Fourth Proportional to 25,755.84, 38,651.07 and 9,115.80

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Solution

The fourth proportional to 25,755.84, 38,651.07 and 9,115.80 is: 13,679.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,755.84 : 38,651.07 = 9,115.80 : x
  2. Step 2: Convert to fraction form
    25,755.84/38,651.07 = 9,115.80/x
  3. Step 3: Cross multiply
    25,755.84x = 38,651.07 × 9,115.80
  4. Step 4: Simplify right side
    25,755.84x = 352,335,423.91
  5. Step 5: Solve for x
    x = 352,335,423.91/25,755.84
  6. Step 6: Final answer
    x = 13,679.83

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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.