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Finding the Fourth Proportional to 14,956.70, 20,640.15 and 8,242.38

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Solution

The fourth proportional to 14,956.70, 20,640.15 and 8,242.38 is: 11,374.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,956.70 : 20,640.15 = 8,242.38 : x
  2. Step 2: Convert to fraction form
    14,956.70/20,640.15 = 8,242.38/x
  3. Step 3: Cross multiply
    14,956.70x = 20,640.15 × 8,242.38
  4. Step 4: Simplify right side
    14,956.70x = 170,123,959.56
  5. Step 5: Solve for x
    x = 170,123,959.56/14,956.70
  6. Step 6: Final answer
    x = 11,374.43

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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.