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Finding the Fourth Proportional to 14,086.11, 19,439.13 and 7,712.97

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Solution

The fourth proportional to 14,086.11, 19,439.13 and 7,712.97 is: 10,644.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,086.11 : 19,439.13 = 7,712.97 : x
  2. Step 2: Convert to fraction form
    14,086.11/19,439.13 = 7,712.97/x
  3. Step 3: Cross multiply
    14,086.11x = 19,439.13 × 7,712.97
  4. Step 4: Simplify right side
    14,086.11x = 149,933,426.52
  5. Step 5: Solve for x
    x = 149,933,426.52/14,086.11
  6. Step 6: Final answer
    x = 10,644.06

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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.