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Finding the Fourth Proportional to 12,242.31, 16,894.18 and 6,791.31

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Solution

The fourth proportional to 12,242.31, 16,894.18 and 6,791.31 is: 9,371.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242.31 : 16,894.18 = 6,791.31 : x
  2. Step 2: Convert to fraction form
    12,242.31/16,894.18 = 6,791.31/x
  3. Step 3: Cross multiply
    12,242.31x = 16,894.18 × 6,791.31
  4. Step 4: Simplify right side
    12,242.31x = 114,733,685.42
  5. Step 5: Solve for x
    x = 114,733,685.42/12,242.31
  6. Step 6: Final answer
    x = 9,371.90

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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.