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Finding the Fourth Proportional to 18,494.46, 27,743.04 and 5,346.90

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Solution

The fourth proportional to 18,494.46, 27,743.04 and 5,346.90 is: 8,020.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,494.46 : 27,743.04 = 5,346.90 : x
  2. Step 2: Convert to fraction form
    18,494.46/27,743.04 = 5,346.90/x
  3. Step 3: Cross multiply
    18,494.46x = 27,743.04 × 5,346.90
  4. Step 4: Simplify right side
    18,494.46x = 148,339,260.58
  5. Step 5: Solve for x
    x = 148,339,260.58/18,494.46
  6. Step 6: Final answer
    x = 8,020.74

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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.