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Finding the Fourth Proportional to 12,101.97, 18,144.48 and 6,180.66

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Solution

The fourth proportional to 12,101.97, 18,144.48 and 6,180.66 is: 9,266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.97 : 18,144.48 = 6,180.66 : x
  2. Step 2: Convert to fraction form
    12,101.97/18,144.48 = 6,180.66/x
  3. Step 3: Cross multiply
    12,101.97x = 18,144.48 × 6,180.66
  4. Step 4: Simplify right side
    12,101.97x = 112,144,861.76
  5. Step 5: Solve for x
    x = 112,144,861.76/12,101.97
  6. Step 6: Final answer
    x = 9,266.66

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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.