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Finding the Fourth Proportional to 12,022.30, 18,009.15 and 6,182.20

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Solution

The fourth proportional to 12,022.30, 18,009.15 and 6,182.20 is: 9,260.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,022.30 : 18,009.15 = 6,182.20 : x
  2. Step 2: Convert to fraction form
    12,022.30/18,009.15 = 6,182.20/x
  3. Step 3: Cross multiply
    12,022.30x = 18,009.15 × 6,182.20
  4. Step 4: Simplify right side
    12,022.30x = 111,336,167.13
  5. Step 5: Solve for x
    x = 111,336,167.13/12,022.30
  6. Step 6: Final answer
    x = 9,260.80

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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.