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Finding the Fourth Proportional to 16,192.88, 22,346.24 and 9,119.42

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Solution

The fourth proportional to 16,192.88, 22,346.24 and 9,119.42 is: 12,584.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,192.88 : 22,346.24 = 9,119.42 : x
  2. Step 2: Convert to fraction form
    16,192.88/22,346.24 = 9,119.42/x
  3. Step 3: Cross multiply
    16,192.88x = 22,346.24 × 9,119.42
  4. Step 4: Simplify right side
    16,192.88x = 203,784,590.65
  5. Step 5: Solve for x
    x = 203,784,590.65/16,192.88
  6. Step 6: Final answer
    x = 12,584.83

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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.