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Finding the Fourth Proportional to 12,691.52, 17,514.87 and 7,102.52

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Solution

The fourth proportional to 12,691.52, 17,514.87 and 7,102.52 is: 9,801.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,691.52 : 17,514.87 = 7,102.52 : x
  2. Step 2: Convert to fraction form
    12,691.52/17,514.87 = 7,102.52/x
  3. Step 3: Cross multiply
    12,691.52x = 17,514.87 × 7,102.52
  4. Step 4: Simplify right side
    12,691.52x = 124,399,714.47
  5. Step 5: Solve for x
    x = 124,399,714.47/12,691.52
  6. Step 6: Final answer
    x = 9,801.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.