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Finding the Fourth Proportional to 12,213.02, 16,856.16 and 7,499.90

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Solution

The fourth proportional to 12,213.02, 16,856.16 and 7,499.90 is: 10,351.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,213.02 : 16,856.16 = 7,499.90 : x
  2. Step 2: Convert to fraction form
    12,213.02/16,856.16 = 7,499.90/x
  3. Step 3: Cross multiply
    12,213.02x = 16,856.16 × 7,499.90
  4. Step 4: Simplify right side
    12,213.02x = 126,419,514.38
  5. Step 5: Solve for x
    x = 126,419,514.38/12,213.02
  6. Step 6: Final answer
    x = 10,351.21

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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.