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Finding the Fourth Proportional to 17,416.52, 24,034.47 and 9,862.73

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Solution

The fourth proportional to 17,416.52, 24,034.47 and 9,862.73 is: 13,610.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,416.52 : 24,034.47 = 9,862.73 : x
  2. Step 2: Convert to fraction form
    17,416.52/24,034.47 = 9,862.73/x
  3. Step 3: Cross multiply
    17,416.52x = 24,034.47 × 9,862.73
  4. Step 4: Simplify right side
    17,416.52x = 237,045,488.30
  5. Step 5: Solve for x
    x = 237,045,488.30/17,416.52
  6. Step 6: Final answer
    x = 13,610.38

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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.