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Finding the Fourth Proportional to 25,909.13, 38,864.70 and 8,151.90

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Solution

The fourth proportional to 25,909.13, 38,864.70 and 8,151.90 is: 12,228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,909.13 : 38,864.70 = 8,151.90 : x
  2. Step 2: Convert to fraction form
    25,909.13/38,864.70 = 8,151.90/x
  3. Step 3: Cross multiply
    25,909.13x = 38,864.70 × 8,151.90
  4. Step 4: Simplify right side
    25,909.13x = 316,821,147.93
  5. Step 5: Solve for x
    x = 316,821,147.93/25,909.13
  6. Step 6: Final answer
    x = 12,228.17

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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.