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Finding the Fourth Proportional to 16,221.73, 22,384.62 and 9,149.89

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Solution

The fourth proportional to 16,221.73, 22,384.62 and 9,149.89 is: 12,626.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,221.73 : 22,384.62 = 9,149.89 : x
  2. Step 2: Convert to fraction form
    16,221.73/22,384.62 = 9,149.89/x
  3. Step 3: Cross multiply
    16,221.73x = 22,384.62 × 9,149.89
  4. Step 4: Simplify right side
    16,221.73x = 204,816,810.69
  5. Step 5: Solve for x
    x = 204,816,810.69/16,221.73
  6. Step 6: Final answer
    x = 12,626.08

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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.