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Finding the Fourth Proportional to 14,022.27, 19,349.84 and 8,049.74

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Solution

The fourth proportional to 14,022.27, 19,349.84 and 8,049.74 is: 11,108.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,022.27 : 19,349.84 = 8,049.74 : x
  2. Step 2: Convert to fraction form
    14,022.27/19,349.84 = 8,049.74/x
  3. Step 3: Cross multiply
    14,022.27x = 19,349.84 × 8,049.74
  4. Step 4: Simplify right side
    14,022.27x = 155,761,104.42
  5. Step 5: Solve for x
    x = 155,761,104.42/14,022.27
  6. Step 6: Final answer
    x = 11,108.12

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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.