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Finding the Fourth Proportional to 24,298.39, 36,433.14 and 9,489.97

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Solution

The fourth proportional to 24,298.39, 36,433.14 and 9,489.97 is: 14,229.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,298.39 : 36,433.14 = 9,489.97 : x
  2. Step 2: Convert to fraction form
    24,298.39/36,433.14 = 9,489.97/x
  3. Step 3: Cross multiply
    24,298.39x = 36,433.14 × 9,489.97
  4. Step 4: Simplify right side
    24,298.39x = 345,749,405.61
  5. Step 5: Solve for x
    x = 345,749,405.61/24,298.39
  6. Step 6: Final answer
    x = 14,229.31

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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.