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Finding the Fourth Proportional to 16,326.67, 22,532.69 and 9,158.56

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Solution

The fourth proportional to 16,326.67, 22,532.69 and 9,158.56 is: 12,639.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,326.67 : 22,532.69 = 9,158.56 : x
  2. Step 2: Convert to fraction form
    16,326.67/22,532.69 = 9,158.56/x
  3. Step 3: Cross multiply
    16,326.67x = 22,532.69 × 9,158.56
  4. Step 4: Simplify right side
    16,326.67x = 206,366,993.33
  5. Step 5: Solve for x
    x = 206,366,993.33/16,326.67
  6. Step 6: Final answer
    x = 12,639.87

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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.