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Finding the Fourth Proportional to 16,231.60, 22,399.15 and 9,158.68

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Solution

The fourth proportional to 16,231.60, 22,399.15 and 9,158.68 is: 12,638.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,231.60 : 22,399.15 = 9,158.68 : x
  2. Step 2: Convert to fraction form
    16,231.60/22,399.15 = 9,158.68/x
  3. Step 3: Cross multiply
    16,231.60x = 22,399.15 × 9,158.68
  4. Step 4: Simplify right side
    16,231.60x = 205,146,489.33
  5. Step 5: Solve for x
    x = 205,146,489.33/16,231.60
  6. Step 6: Final answer
    x = 12,638.71

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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.