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Finding the Fourth Proportional to 12,009.22, 18,015.20 and 6,167.20

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Solution

The fourth proportional to 12,009.22, 18,015.20 and 6,167.20 is: 9,251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,009.22 : 18,015.20 = 6,167.20 : x
  2. Step 2: Convert to fraction form
    12,009.22/18,015.20 = 6,167.20/x
  3. Step 3: Cross multiply
    12,009.22x = 18,015.20 × 6,167.20
  4. Step 4: Simplify right side
    12,009.22x = 111,103,341.44
  5. Step 5: Solve for x
    x = 111,103,341.44/12,009.22
  6. Step 6: Final answer
    x = 9,251.50

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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.