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Finding the Fourth Proportional to 18,566.18, 27,842.38 and 7,469.08

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Solution

The fourth proportional to 18,566.18, 27,842.38 and 7,469.08 is: 11,200.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,566.18 : 27,842.38 = 7,469.08 : x
  2. Step 2: Convert to fraction form
    18,566.18/27,842.38 = 7,469.08/x
  3. Step 3: Cross multiply
    18,566.18x = 27,842.38 × 7,469.08
  4. Step 4: Simplify right side
    18,566.18x = 207,956,963.61
  5. Step 5: Solve for x
    x = 207,956,963.61/18,566.18
  6. Step 6: Final answer
    x = 11,200.85

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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.