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Finding the Fourth Proportional to 17,489.74, 24,135.92 and 9,936.48

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Solution

The fourth proportional to 17,489.74, 24,135.92 and 9,936.48 is: 13,712.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,489.74 : 24,135.92 = 9,936.48 : x
  2. Step 2: Convert to fraction form
    17,489.74/24,135.92 = 9,936.48/x
  3. Step 3: Cross multiply
    17,489.74x = 24,135.92 × 9,936.48
  4. Step 4: Simplify right side
    17,489.74x = 239,826,201.71
  5. Step 5: Solve for x
    x = 239,826,201.71/17,489.74
  6. Step 6: Final answer
    x = 13,712.39

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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.