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Finding the Fourth Proportional to 18,542.34, 27,807.84 and 7,443.18

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Solution

The fourth proportional to 18,542.34, 27,807.84 and 7,443.18 is: 11,162.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,542.34 : 27,807.84 = 7,443.18 : x
  2. Step 2: Convert to fraction form
    18,542.34/27,807.84 = 7,443.18/x
  3. Step 3: Cross multiply
    18,542.34x = 27,807.84 × 7,443.18
  4. Step 4: Simplify right side
    18,542.34x = 206,978,758.53
  5. Step 5: Solve for x
    x = 206,978,758.53/18,542.34
  6. Step 6: Final answer
    x = 11,162.49

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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.