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Finding the Fourth Proportional to 24,262.92, 36,403.28 and 10,226.48

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Solution

The fourth proportional to 24,262.92, 36,403.28 and 10,226.48 is: 15,343.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,262.92 : 36,403.28 = 10,226.48 : x
  2. Step 2: Convert to fraction form
    24,262.92/36,403.28 = 10,226.48/x
  3. Step 3: Cross multiply
    24,262.92x = 36,403.28 × 10,226.48
  4. Step 4: Simplify right side
    24,262.92x = 372,277,414.85
  5. Step 5: Solve for x
    x = 372,277,414.85/24,262.92
  6. Step 6: Final answer
    x = 15,343.47

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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.