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Finding the Fourth Proportional to 18,342.32, 27,509.18 and 5,863.46

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Solution

The fourth proportional to 18,342.32, 27,509.18 and 5,863.46 is: 8,793.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,342.32 : 27,509.18 = 5,863.46 : x
  2. Step 2: Convert to fraction form
    18,342.32/27,509.18 = 5,863.46/x
  3. Step 3: Cross multiply
    18,342.32x = 27,509.18 × 5,863.46
  4. Step 4: Simplify right side
    18,342.32x = 161,298,976.56
  5. Step 5: Solve for x
    x = 161,298,976.56/18,342.32
  6. Step 6: Final answer
    x = 8,793.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.