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Finding the Fourth Proportional to 25,385.14, 38,081.81 and 7,854.97

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Solution

The fourth proportional to 25,385.14, 38,081.81 and 7,854.97 is: 11,783.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,385.14 : 38,081.81 = 7,854.97 : x
  2. Step 2: Convert to fraction form
    25,385.14/38,081.81 = 7,854.97/x
  3. Step 3: Cross multiply
    25,385.14x = 38,081.81 × 7,854.97
  4. Step 4: Simplify right side
    25,385.14x = 299,131,340.62
  5. Step 5: Solve for x
    x = 299,131,340.62/25,385.14
  6. Step 6: Final answer
    x = 11,783.72

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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.