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Finding the Fourth Proportional to 22,369.20, 30,876 and 13,873.92

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Solution

The fourth proportional to 22,369.20, 30,876 and 13,873.92 is: 19,150.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,369.20 : 30,876 = 13,873.92 : x
  2. Step 2: Convert to fraction form
    22,369.20/30,876 = 13,873.92/x
  3. Step 3: Cross multiply
    22,369.20x = 30,876 × 13,873.92
  4. Step 4: Simplify right side
    22,369.20x = 428,371,153.92
  5. Step 5: Solve for x
    x = 428,371,153.92/22,369.20
  6. Step 6: Final answer
    x = 19,150.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.