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Finding the Fourth Proportional to 18,145.67, 27,214.25 and 9,375.80

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Solution

The fourth proportional to 18,145.67, 27,214.25 and 9,375.80 is: 14,061.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,145.67 : 27,214.25 = 9,375.80 : x
  2. Step 2: Convert to fraction form
    18,145.67/27,214.25 = 9,375.80/x
  3. Step 3: Cross multiply
    18,145.67x = 27,214.25 × 9,375.80
  4. Step 4: Simplify right side
    18,145.67x = 255,155,182.20
  5. Step 5: Solve for x
    x = 255,155,182.20/18,145.67
  6. Step 6: Final answer
    x = 14,061.50

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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.