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Finding the Fourth Proportional to 14,491.38, 19,998.36 and 8,117.92

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Solution

The fourth proportional to 14,491.38, 19,998.36 and 8,117.92 is: 11,202.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,491.38 : 19,998.36 = 8,117.92 : x
  2. Step 2: Convert to fraction form
    14,491.38/19,998.36 = 8,117.92/x
  3. Step 3: Cross multiply
    14,491.38x = 19,998.36 × 8,117.92
  4. Step 4: Simplify right side
    14,491.38x = 162,345,086.61
  5. Step 5: Solve for x
    x = 162,345,086.61/14,491.38
  6. Step 6: Final answer
    x = 11,202.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.