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Finding the Fourth Proportional to 25,905.72, 38,854.46 and 9,262.65

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Solution

The fourth proportional to 25,905.72, 38,854.46 and 9,262.65 is: 13,892.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,905.72 : 38,854.46 = 9,262.65 : x
  2. Step 2: Convert to fraction form
    25,905.72/38,854.46 = 9,262.65/x
  3. Step 3: Cross multiply
    25,905.72x = 38,854.46 × 9,262.65
  4. Step 4: Simplify right side
    25,905.72x = 359,895,217.61
  5. Step 5: Solve for x
    x = 359,895,217.61/25,905.72
  6. Step 6: Final answer
    x = 13,892.50

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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.