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Finding the Fourth Proportional to 17,538.07, 24,201.38 and 9,985.17

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Solution

The fourth proportional to 17,538.07, 24,201.38 and 9,985.17 is: 13,778.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538.07 : 24,201.38 = 9,985.17 : x
  2. Step 2: Convert to fraction form
    17,538.07/24,201.38 = 9,985.17/x
  3. Step 3: Cross multiply
    17,538.07x = 24,201.38 × 9,985.17
  4. Step 4: Simplify right side
    17,538.07x = 241,654,843.61
  5. Step 5: Solve for x
    x = 241,654,843.61/17,538.07
  6. Step 6: Final answer
    x = 13,778.87

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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.