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Finding the Fourth Proportional to 25,909.83, 38,864.67 and 8,141.81

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Solution

The fourth proportional to 25,909.83, 38,864.67 and 8,141.81 is: 12,212.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,909.83 : 38,864.67 = 8,141.81 : x
  2. Step 2: Convert to fraction form
    25,909.83/38,864.67 = 8,141.81/x
  3. Step 3: Cross multiply
    25,909.83x = 38,864.67 × 8,141.81
  4. Step 4: Simplify right side
    25,909.83x = 316,428,564.53
  5. Step 5: Solve for x
    x = 316,428,564.53/25,909.83
  6. Step 6: Final answer
    x = 12,212.68

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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.