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Finding the Fourth Proportional to 24,142.74, 36,202.11 and 10,098.50

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Solution

The fourth proportional to 24,142.74, 36,202.11 and 10,098.50 is: 15,142.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,142.74 : 36,202.11 = 10,098.50 : x
  2. Step 2: Convert to fraction form
    24,142.74/36,202.11 = 10,098.50/x
  3. Step 3: Cross multiply
    24,142.74x = 36,202.11 × 10,098.50
  4. Step 4: Simplify right side
    24,142.74x = 365,587,007.84
  5. Step 5: Solve for x
    x = 365,587,007.84/24,142.74
  6. Step 6: Final answer
    x = 15,142.73

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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.