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Finding the Fourth Proportional to 24,503.92, 36,723.48 and 8,906.56

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Solution

The fourth proportional to 24,503.92, 36,723.48 and 8,906.56 is: 13,348.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,503.92 : 36,723.48 = 8,906.56 : x
  2. Step 2: Convert to fraction form
    24,503.92/36,723.48 = 8,906.56/x
  3. Step 3: Cross multiply
    24,503.92x = 36,723.48 × 8,906.56
  4. Step 4: Simplify right side
    24,503.92x = 327,079,878.03
  5. Step 5: Solve for x
    x = 327,079,878.03/24,503.92
  6. Step 6: Final answer
    x = 13,348.06

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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.