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Finding the Fourth Proportional to 24,793.48, 34,215.06 and 13,616.20

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Solution

The fourth proportional to 24,793.48, 34,215.06 and 13,616.20 is: 18,790.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,793.48 : 34,215.06 = 13,616.20 : x
  2. Step 2: Convert to fraction form
    24,793.48/34,215.06 = 13,616.20/x
  3. Step 3: Cross multiply
    24,793.48x = 34,215.06 × 13,616.20
  4. Step 4: Simplify right side
    24,793.48x = 465,879,099.97
  5. Step 5: Solve for x
    x = 465,879,099.97/24,793.48
  6. Step 6: Final answer
    x = 18,790.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.