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Finding the Fourth Proportional to 24,230.78, 36,339.15 and 9,436.40

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Solution

The fourth proportional to 24,230.78, 36,339.15 and 9,436.40 is: 14,151.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,230.78 : 36,339.15 = 9,436.40 : x
  2. Step 2: Convert to fraction form
    24,230.78/36,339.15 = 9,436.40/x
  3. Step 3: Cross multiply
    24,230.78x = 36,339.15 × 9,436.40
  4. Step 4: Simplify right side
    24,230.78x = 342,910,755.06
  5. Step 5: Solve for x
    x = 342,910,755.06/24,230.78
  6. Step 6: Final answer
    x = 14,151.87

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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.