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Finding the Fourth Proportional to 12,085.80, 18,177.30 and 10,822.20

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Solution

The fourth proportional to 12,085.80, 18,177.30 and 10,822.20 is: 16,276.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085.80 : 18,177.30 = 10,822.20 : x
  2. Step 2: Convert to fraction form
    12,085.80/18,177.30 = 10,822.20/x
  3. Step 3: Cross multiply
    12,085.80x = 18,177.30 × 10,822.20
  4. Step 4: Simplify right side
    12,085.80x = 196,718,376.06
  5. Step 5: Solve for x
    x = 196,718,376.06/12,085.80
  6. Step 6: Final answer
    x = 16,276.82

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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.