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Finding the Fourth Proportional to 22,947.62, 34,426.62 and 8,156.48

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Solution

The fourth proportional to 22,947.62, 34,426.62 and 8,156.48 is: 12,236.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,947.62 : 34,426.62 = 8,156.48 : x
  2. Step 2: Convert to fraction form
    22,947.62/34,426.62 = 8,156.48/x
  3. Step 3: Cross multiply
    22,947.62x = 34,426.62 × 8,156.48
  4. Step 4: Simplify right side
    22,947.62x = 280,799,865.36
  5. Step 5: Solve for x
    x = 280,799,865.36/22,947.62
  6. Step 6: Final answer
    x = 12,236.56

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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.