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Finding the Fourth Proportional to 17,778.87, 24,534.27 and 9,712.39

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Solution

The fourth proportional to 17,778.87, 24,534.27 and 9,712.39 is: 13,402.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778.87 : 24,534.27 = 9,712.39 : x
  2. Step 2: Convert to fraction form
    17,778.87/24,534.27 = 9,712.39/x
  3. Step 3: Cross multiply
    17,778.87x = 24,534.27 × 9,712.39
  4. Step 4: Simplify right side
    17,778.87x = 238,286,398.61
  5. Step 5: Solve for x
    x = 238,286,398.61/17,778.87
  6. Step 6: Final answer
    x = 13,402.79

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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.