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Finding the Fourth Proportional to 12,139.97, 18,206.55 and 7,691.01

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Solution

The fourth proportional to 12,139.97, 18,206.55 and 7,691.01 is: 11,534.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,139.97 : 18,206.55 = 7,691.01 : x
  2. Step 2: Convert to fraction form
    12,139.97/18,206.55 = 7,691.01/x
  3. Step 3: Cross multiply
    12,139.97x = 18,206.55 × 7,691.01
  4. Step 4: Simplify right side
    12,139.97x = 140,026,758.12
  5. Step 5: Solve for x
    x = 140,026,758.12/12,139.97
  6. Step 6: Final answer
    x = 11,534.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.