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Finding the Fourth Proportional to 12,042.38, 16,618.48 and 7,850.63

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Solution

The fourth proportional to 12,042.38, 16,618.48 and 7,850.63 is: 10,833.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,042.38 : 16,618.48 = 7,850.63 : x
  2. Step 2: Convert to fraction form
    12,042.38/16,618.48 = 7,850.63/x
  3. Step 3: Cross multiply
    12,042.38x = 16,618.48 × 7,850.63
  4. Step 4: Simplify right side
    12,042.38x = 130,465,434.92
  5. Step 5: Solve for x
    x = 130,465,434.92/12,042.38
  6. Step 6: Final answer
    x = 10,833.86

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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.