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Finding the Fourth Proportional to 24,057, 36,082.67 and 9,255.47

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Solution

The fourth proportional to 24,057, 36,082.67 and 9,255.47 is: 13,882.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,057 : 36,082.67 = 9,255.47 : x
  2. Step 2: Convert to fraction form
    24,057/36,082.67 = 9,255.47/x
  3. Step 3: Cross multiply
    24,057x = 36,082.67 × 9,255.47
  4. Step 4: Simplify right side
    24,057x = 333,961,843.01
  5. Step 5: Solve for x
    x = 333,961,843.01/24,057
  6. Step 6: Final answer
    x = 13,882.11

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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.