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Finding the Fourth Proportional to 24,138.69, 36,149.57 and 12,261.22

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Solution

The fourth proportional to 24,138.69, 36,149.57 and 12,261.22 is: 18,362.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,138.69 : 36,149.57 = 12,261.22 : x
  2. Step 2: Convert to fraction form
    24,138.69/36,149.57 = 12,261.22/x
  3. Step 3: Cross multiply
    24,138.69x = 36,149.57 × 12,261.22
  4. Step 4: Simplify right side
    24,138.69x = 443,237,724.97
  5. Step 5: Solve for x
    x = 443,237,724.97/24,138.69
  6. Step 6: Final answer
    x = 18,362.13

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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.