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Finding the Fourth Proportional to 18,234.32, 27,346.20 and 6,541.20

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Solution

The fourth proportional to 18,234.32, 27,346.20 and 6,541.20 is: 9,809.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,234.32 : 27,346.20 = 6,541.20 : x
  2. Step 2: Convert to fraction form
    18,234.32/27,346.20 = 6,541.20/x
  3. Step 3: Cross multiply
    18,234.32x = 27,346.20 × 6,541.20
  4. Step 4: Simplify right side
    18,234.32x = 178,876,963.44
  5. Step 5: Solve for x
    x = 178,876,963.44/18,234.32
  6. Step 6: Final answer
    x = 9,809.91

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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.