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Finding the Fourth Proportional to 12,213.38, 16,852.31 and 7,499.18

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Solution

The fourth proportional to 12,213.38, 16,852.31 and 7,499.18 is: 10,347.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,213.38 : 16,852.31 = 7,499.18 : x
  2. Step 2: Convert to fraction form
    12,213.38/16,852.31 = 7,499.18/x
  3. Step 3: Cross multiply
    12,213.38x = 16,852.31 × 7,499.18
  4. Step 4: Simplify right side
    12,213.38x = 126,378,384.35
  5. Step 5: Solve for x
    x = 126,378,384.35/12,213.38
  6. Step 6: Final answer
    x = 10,347.54

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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.