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Finding the Fourth Proportional to 24,188.65, 36,296.98 and 10,147.43

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Solution

The fourth proportional to 24,188.65, 36,296.98 and 10,147.43 is: 15,227.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,188.65 : 36,296.98 = 10,147.43 : x
  2. Step 2: Convert to fraction form
    24,188.65/36,296.98 = 10,147.43/x
  3. Step 3: Cross multiply
    24,188.65x = 36,296.98 × 10,147.43
  4. Step 4: Simplify right side
    24,188.65x = 368,321,063.76
  5. Step 5: Solve for x
    x = 368,321,063.76/24,188.65
  6. Step 6: Final answer
    x = 15,227.02

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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.