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Finding the Fourth Proportional to 12,106.39, 18,165.06 and 6,180.22

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Solution

The fourth proportional to 12,106.39, 18,165.06 and 6,180.22 is: 9,273.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.39 : 18,165.06 = 6,180.22 : x
  2. Step 2: Convert to fraction form
    12,106.39/18,165.06 = 6,180.22/x
  3. Step 3: Cross multiply
    12,106.39x = 18,165.06 × 6,180.22
  4. Step 4: Simplify right side
    12,106.39x = 112,264,067.11
  5. Step 5: Solve for x
    x = 112,264,067.11/12,106.39
  6. Step 6: Final answer
    x = 9,273.12

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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.