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Finding the Fourth Proportional to 24,141.90, 36,211.05 and 10,098.30

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Solution

The fourth proportional to 24,141.90, 36,211.05 and 10,098.30 is: 15,146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,141.90 : 36,211.05 = 10,098.30 : x
  2. Step 2: Convert to fraction form
    24,141.90/36,211.05 = 10,098.30/x
  3. Step 3: Cross multiply
    24,141.90x = 36,211.05 × 10,098.30
  4. Step 4: Simplify right side
    24,141.90x = 365,670,046.22
  5. Step 5: Solve for x
    x = 365,670,046.22/24,141.90
  6. Step 6: Final answer
    x = 15,146.70

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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.