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Finding the Fourth Proportional to 14,122.11, 19,487.43 and 7,747.68

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Solution

The fourth proportional to 14,122.11, 19,487.43 and 7,747.68 is: 10,691.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,122.11 : 19,487.43 = 7,747.68 : x
  2. Step 2: Convert to fraction form
    14,122.11/19,487.43 = 7,747.68/x
  3. Step 3: Cross multiply
    14,122.11x = 19,487.43 × 7,747.68
  4. Step 4: Simplify right side
    14,122.11x = 150,982,371.66
  5. Step 5: Solve for x
    x = 150,982,371.66/14,122.11
  6. Step 6: Final answer
    x = 10,691.20

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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.