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Finding the Fourth Proportional to 24,178.39, 36,246.91 and 9,177.09

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Solution

The fourth proportional to 24,178.39, 36,246.91 and 9,177.09 is: 13,757.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,178.39 : 36,246.91 = 9,177.09 : x
  2. Step 2: Convert to fraction form
    24,178.39/36,246.91 = 9,177.09/x
  3. Step 3: Cross multiply
    24,178.39x = 36,246.91 × 9,177.09
  4. Step 4: Simplify right side
    24,178.39x = 332,641,155.29
  5. Step 5: Solve for x
    x = 332,641,155.29/24,178.39
  6. Step 6: Final answer
    x = 13,757.79

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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.