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Finding the Fourth Proportional to 24,259.67, 36,403.14 and 9,469.61

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Solution

The fourth proportional to 24,259.67, 36,403.14 and 9,469.61 is: 14,209.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,259.67 : 36,403.14 = 9,469.61 : x
  2. Step 2: Convert to fraction form
    24,259.67/36,403.14 = 9,469.61/x
  3. Step 3: Cross multiply
    24,259.67x = 36,403.14 × 9,469.61
  4. Step 4: Simplify right side
    24,259.67x = 344,723,538.58
  5. Step 5: Solve for x
    x = 344,723,538.58/24,259.67
  6. Step 6: Final answer
    x = 14,209.74

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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.