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Finding the Fourth Proportional to 14,099.71, 19,456.42 and 8,049.92

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Solution

The fourth proportional to 14,099.71, 19,456.42 and 8,049.92 is: 11,108.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,099.71 : 19,456.42 = 8,049.92 : x
  2. Step 2: Convert to fraction form
    14,099.71/19,456.42 = 8,049.92/x
  3. Step 3: Cross multiply
    14,099.71x = 19,456.42 × 8,049.92
  4. Step 4: Simplify right side
    14,099.71x = 156,622,624.49
  5. Step 5: Solve for x
    x = 156,622,624.49/14,099.71
  6. Step 6: Final answer
    x = 11,108.22

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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.