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Finding the Fourth Proportional to 16,269.66, 22,454.10 and 9,196.02

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Solution

The fourth proportional to 16,269.66, 22,454.10 and 9,196.02 is: 12,691.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,269.66 : 22,454.10 = 9,196.02 : x
  2. Step 2: Convert to fraction form
    16,269.66/22,454.10 = 9,196.02/x
  3. Step 3: Cross multiply
    16,269.66x = 22,454.10 × 9,196.02
  4. Step 4: Simplify right side
    16,269.66x = 206,488,352.68
  5. Step 5: Solve for x
    x = 206,488,352.68/16,269.66
  6. Step 6: Final answer
    x = 12,691.62

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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.