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Finding the Fourth Proportional to 12,121.48, 16,737.33 and 7,874.65

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Solution

The fourth proportional to 12,121.48, 16,737.33 and 7,874.65 is: 10,873.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,121.48 : 16,737.33 = 7,874.65 : x
  2. Step 2: Convert to fraction form
    12,121.48/16,737.33 = 7,874.65/x
  3. Step 3: Cross multiply
    12,121.48x = 16,737.33 × 7,874.65
  4. Step 4: Simplify right side
    12,121.48x = 131,800,615.68
  5. Step 5: Solve for x
    x = 131,800,615.68/12,121.48
  6. Step 6: Final answer
    x = 10,873.31

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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.