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Finding the Fourth Proportional to 25,678.68, 38,518.17 and 7,909.11

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Solution

The fourth proportional to 25,678.68, 38,518.17 and 7,909.11 is: 11,863.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,678.68 : 38,518.17 = 7,909.11 : x
  2. Step 2: Convert to fraction form
    25,678.68/38,518.17 = 7,909.11/x
  3. Step 3: Cross multiply
    25,678.68x = 38,518.17 × 7,909.11
  4. Step 4: Simplify right side
    25,678.68x = 304,644,443.53
  5. Step 5: Solve for x
    x = 304,644,443.53/25,678.68
  6. Step 6: Final answer
    x = 11,863.71

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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.