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Finding the Fourth Proportional to 16,117.65, 22,242 and 8,947.14

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Solution

The fourth proportional to 16,117.65, 22,242 and 8,947.14 is: 12,346.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,117.65 : 22,242 = 8,947.14 : x
  2. Step 2: Convert to fraction form
    16,117.65/22,242 = 8,947.14/x
  3. Step 3: Cross multiply
    16,117.65x = 22,242 × 8,947.14
  4. Step 4: Simplify right side
    16,117.65x = 199,002,287.88
  5. Step 5: Solve for x
    x = 199,002,287.88/16,117.65
  6. Step 6: Final answer
    x = 12,346.86

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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.