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Finding the Fourth Proportional to 24,229.40, 36,344.12 and 7,589.57

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Solution

The fourth proportional to 24,229.40, 36,344.12 and 7,589.57 is: 11,384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,229.40 : 36,344.12 = 7,589.57 : x
  2. Step 2: Convert to fraction form
    24,229.40/36,344.12 = 7,589.57/x
  3. Step 3: Cross multiply
    24,229.40x = 36,344.12 × 7,589.57
  4. Step 4: Simplify right side
    24,229.40x = 275,836,023.16
  5. Step 5: Solve for x
    x = 275,836,023.16/24,229.40
  6. Step 6: Final answer
    x = 11,384.35

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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.