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Finding the Fourth Proportional to 16,448.70, 24,656.85 and 8,121.90

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Solution

The fourth proportional to 16,448.70, 24,656.85 and 8,121.90 is: 12,174.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,448.70 : 24,656.85 = 8,121.90 : x
  2. Step 2: Convert to fraction form
    16,448.70/24,656.85 = 8,121.90/x
  3. Step 3: Cross multiply
    16,448.70x = 24,656.85 × 8,121.90
  4. Step 4: Simplify right side
    16,448.70x = 200,260,470.02
  5. Step 5: Solve for x
    x = 200,260,470.02/16,448.70
  6. Step 6: Final answer
    x = 12,174.85

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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.