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Finding the Fourth Proportional to 12,691.28, 17,514.36 and 7,102.40

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Solution

The fourth proportional to 12,691.28, 17,514.36 and 7,102.40 is: 9,801.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,691.28 : 17,514.36 = 7,102.40 : x
  2. Step 2: Convert to fraction form
    12,691.28/17,514.36 = 7,102.40/x
  3. Step 3: Cross multiply
    12,691.28x = 17,514.36 × 7,102.40
  4. Step 4: Simplify right side
    12,691.28x = 124,393,990.46
  5. Step 5: Solve for x
    x = 124,393,990.46/12,691.28
  6. Step 6: Final answer
    x = 9,801.53

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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.