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Finding the Fourth Proportional to 24,207.32, 36,301.62 and 9,414.24

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Solution

The fourth proportional to 24,207.32, 36,301.62 and 9,414.24 is: 14,117.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,207.32 : 36,301.62 = 9,414.24 : x
  2. Step 2: Convert to fraction form
    24,207.32/36,301.62 = 9,414.24/x
  3. Step 3: Cross multiply
    24,207.32x = 36,301.62 × 9,414.24
  4. Step 4: Simplify right side
    24,207.32x = 341,752,163.07
  5. Step 5: Solve for x
    x = 341,752,163.07/24,207.32
  6. Step 6: Final answer
    x = 14,117.72

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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.