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Finding the Fourth Proportional to 17,637.39, 24,339.78 and 9,679.92

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Solution

The fourth proportional to 17,637.39, 24,339.78 and 9,679.92 is: 13,358.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,637.39 : 24,339.78 = 9,679.92 : x
  2. Step 2: Convert to fraction form
    17,637.39/24,339.78 = 9,679.92/x
  3. Step 3: Cross multiply
    17,637.39x = 24,339.78 × 9,679.92
  4. Step 4: Simplify right side
    17,637.39x = 235,607,123.22
  5. Step 5: Solve for x
    x = 235,607,123.22/17,637.39
  6. Step 6: Final answer
    x = 13,358.39

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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.