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Finding the Fourth Proportional to 24,244, 36,375.32 and 9,463.40

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Solution

The fourth proportional to 24,244, 36,375.32 and 9,463.40 is: 14,198.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,244 : 36,375.32 = 9,463.40 : x
  2. Step 2: Convert to fraction form
    24,244/36,375.32 = 9,463.40/x
  3. Step 3: Cross multiply
    24,244x = 36,375.32 × 9,463.40
  4. Step 4: Simplify right side
    24,244x = 344,234,203.29
  5. Step 5: Solve for x
    x = 344,234,203.29/24,244
  6. Step 6: Final answer
    x = 14,198.74

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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.