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Finding the Fourth Proportional to 24,269.50, 36,382.58 and 9,474.96

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Solution

The fourth proportional to 24,269.50, 36,382.58 and 9,474.96 is: 14,203.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,269.50 : 36,382.58 = 9,474.96 : x
  2. Step 2: Convert to fraction form
    24,269.50/36,382.58 = 9,474.96/x
  3. Step 3: Cross multiply
    24,269.50x = 36,382.58 × 9,474.96
  4. Step 4: Simplify right side
    24,269.50x = 344,723,490.20
  5. Step 5: Solve for x
    x = 344,723,490.20/24,269.50
  6. Step 6: Final answer
    x = 14,203.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.