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Finding the Fourth Proportional to 16,231.66, 22,399.61 and 9,158.02

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Solution

The fourth proportional to 16,231.66, 22,399.61 and 9,158.02 is: 12,638.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,231.66 : 22,399.61 = 9,158.02 : x
  2. Step 2: Convert to fraction form
    16,231.66/22,399.61 = 9,158.02/x
  3. Step 3: Cross multiply
    16,231.66x = 22,399.61 × 9,158.02
  4. Step 4: Simplify right side
    16,231.66x = 205,135,974.58
  5. Step 5: Solve for x
    x = 205,135,974.58/16,231.66
  6. Step 6: Final answer
    x = 12,638.02

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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.