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Finding the Fourth Proportional to 18,509.38, 27,761.19 and 6,194.50

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Solution

The fourth proportional to 18,509.38, 27,761.19 and 6,194.50 is: 9,290.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,509.38 : 27,761.19 = 6,194.50 : x
  2. Step 2: Convert to fraction form
    18,509.38/27,761.19 = 6,194.50/x
  3. Step 3: Cross multiply
    18,509.38x = 27,761.19 × 6,194.50
  4. Step 4: Simplify right side
    18,509.38x = 171,966,691.46
  5. Step 5: Solve for x
    x = 171,966,691.46/18,509.38
  6. Step 6: Final answer
    x = 9,290.79

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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.