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Finding the Fourth Proportional to 12,247.38, 16,902.72 and 6,942.54

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Solution

The fourth proportional to 12,247.38, 16,902.72 and 6,942.54 is: 9,581.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,247.38 : 16,902.72 = 6,942.54 : x
  2. Step 2: Convert to fraction form
    12,247.38/16,902.72 = 6,942.54/x
  3. Step 3: Cross multiply
    12,247.38x = 16,902.72 × 6,942.54
  4. Step 4: Simplify right side
    12,247.38x = 117,347,809.71
  5. Step 5: Solve for x
    x = 117,347,809.71/12,247.38
  6. Step 6: Final answer
    x = 9,581.46

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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.