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Finding the Fourth Proportional to 12,195.97, 18,283.02 and 4,402.96

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Solution

The fourth proportional to 12,195.97, 18,283.02 and 4,402.96 is: 6,600.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.97 : 18,283.02 = 4,402.96 : x
  2. Step 2: Convert to fraction form
    12,195.97/18,283.02 = 4,402.96/x
  3. Step 3: Cross multiply
    12,195.97x = 18,283.02 × 4,402.96
  4. Step 4: Simplify right side
    12,195.97x = 80,499,343.52
  5. Step 5: Solve for x
    x = 80,499,343.52/12,195.97
  6. Step 6: Final answer
    x = 6,600.49

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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.