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Finding the Fourth Proportional to 16,173.91, 22,318.80 and 9,098.97

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Solution

The fourth proportional to 16,173.91, 22,318.80 and 9,098.97 is: 12,555.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,173.91 : 22,318.80 = 9,098.97 : x
  2. Step 2: Convert to fraction form
    16,173.91/22,318.80 = 9,098.97/x
  3. Step 3: Cross multiply
    16,173.91x = 22,318.80 × 9,098.97
  4. Step 4: Simplify right side
    16,173.91x = 203,078,091.64
  5. Step 5: Solve for x
    x = 203,078,091.64/16,173.91
  6. Step 6: Final answer
    x = 12,555.91

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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.