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Finding the Fourth Proportional to 16,122.30, 24,196.78 and 8,230.65

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Solution

The fourth proportional to 16,122.30, 24,196.78 and 8,230.65 is: 12,352.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,122.30 : 24,196.78 = 8,230.65 : x
  2. Step 2: Convert to fraction form
    16,122.30/24,196.78 = 8,230.65/x
  3. Step 3: Cross multiply
    16,122.30x = 24,196.78 × 8,230.65
  4. Step 4: Simplify right side
    16,122.30x = 199,155,227.31
  5. Step 5: Solve for x
    x = 199,155,227.31/16,122.30
  6. Step 6: Final answer
    x = 12,352.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.