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Finding the Fourth Proportional to 24,366, 36,549.18 and 5,898

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Solution

The fourth proportional to 24,366, 36,549.18 and 5,898 is: 8,847.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,366 : 36,549.18 = 5,898 : x
  2. Step 2: Convert to fraction form
    24,366/36,549.18 = 5,898/x
  3. Step 3: Cross multiply
    24,366x = 36,549.18 × 5,898
  4. Step 4: Simplify right side
    24,366x = 215,567,063.64
  5. Step 5: Solve for x
    x = 215,567,063.64/24,366
  6. Step 6: Final answer
    x = 8,847.04

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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.