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Finding the Fourth Proportional to 18,567.20, 27,843.86 and 7,470.14

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Solution

The fourth proportional to 18,567.20, 27,843.86 and 7,470.14 is: 11,202.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,567.20 : 27,843.86 = 7,470.14 : x
  2. Step 2: Convert to fraction form
    18,567.20/27,843.86 = 7,470.14/x
  3. Step 3: Cross multiply
    18,567.20x = 27,843.86 × 7,470.14
  4. Step 4: Simplify right side
    18,567.20x = 207,997,411.80
  5. Step 5: Solve for x
    x = 207,997,411.80/18,567.20
  6. Step 6: Final answer
    x = 11,202.41

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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.