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Finding the Fourth Proportional to 22,921.63, 34,375.24 and 8,880.69

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Solution

The fourth proportional to 22,921.63, 34,375.24 and 8,880.69 is: 13,318.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,921.63 : 34,375.24 = 8,880.69 : x
  2. Step 2: Convert to fraction form
    22,921.63/34,375.24 = 8,880.69/x
  3. Step 3: Cross multiply
    22,921.63x = 34,375.24 × 8,880.69
  4. Step 4: Simplify right side
    22,921.63x = 305,275,850.12
  5. Step 5: Solve for x
    x = 305,275,850.12/22,921.63
  6. Step 6: Final answer
    x = 13,318.24

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Why These Related Problems?

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