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Finding the Fourth Proportional to 24,357.92, 33,613.80 and 13,751

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Solution

The fourth proportional to 24,357.92, 33,613.80 and 13,751 is: 18,976.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,357.92 : 33,613.80 = 13,751 : x
  2. Step 2: Convert to fraction form
    24,357.92/33,613.80 = 13,751/x
  3. Step 3: Cross multiply
    24,357.92x = 33,613.80 × 13,751
  4. Step 4: Simplify right side
    24,357.92x = 462,223,363.80
  5. Step 5: Solve for x
    x = 462,223,363.80/24,357.92
  6. Step 6: Final answer
    x = 18,976.31

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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.