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Finding the Fourth Proportional to 16,144.62, 22,277.16 and 9,069.69

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Solution

The fourth proportional to 16,144.62, 22,277.16 and 9,069.69 is: 12,514.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,144.62 : 22,277.16 = 9,069.69 : x
  2. Step 2: Convert to fraction form
    16,144.62/22,277.16 = 9,069.69/x
  3. Step 3: Cross multiply
    16,144.62x = 22,277.16 × 9,069.69
  4. Step 4: Simplify right side
    16,144.62x = 202,046,935.28
  5. Step 5: Solve for x
    x = 202,046,935.28/16,144.62
  6. Step 6: Final answer
    x = 12,514.82

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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.