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Finding the Fourth Proportional to 24,142.30, 36,197.89 and 10,098.52

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Solution

The fourth proportional to 24,142.30, 36,197.89 and 10,098.52 is: 15,141.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,142.30 : 36,197.89 = 10,098.52 : x
  2. Step 2: Convert to fraction form
    24,142.30/36,197.89 = 10,098.52/x
  3. Step 3: Cross multiply
    24,142.30x = 36,197.89 × 10,098.52
  4. Step 4: Simplify right side
    24,142.30x = 365,545,116.12
  5. Step 5: Solve for x
    x = 365,545,116.12/24,142.30
  6. Step 6: Final answer
    x = 15,141.27

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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.