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Finding the Fourth Proportional to 19,616.14, 29,414.97 and 7,127.36

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Solution

The fourth proportional to 19,616.14, 29,414.97 and 7,127.36 is: 10,687.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,616.14 : 29,414.97 = 7,127.36 : x
  2. Step 2: Convert to fraction form
    19,616.14/29,414.97 = 7,127.36/x
  3. Step 3: Cross multiply
    19,616.14x = 29,414.97 × 7,127.36
  4. Step 4: Simplify right side
    19,616.14x = 209,651,080.58
  5. Step 5: Solve for x
    x = 209,651,080.58/19,616.14
  6. Step 6: Final answer
    x = 10,687.68

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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.