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Finding the Fourth Proportional to 12,180.68, 18,270.86 and 6,982.84

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Solution

The fourth proportional to 12,180.68, 18,270.86 and 6,982.84 is: 10,474.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,180.68 : 18,270.86 = 6,982.84 : x
  2. Step 2: Convert to fraction form
    12,180.68/18,270.86 = 6,982.84/x
  3. Step 3: Cross multiply
    12,180.68x = 18,270.86 × 6,982.84
  4. Step 4: Simplify right side
    12,180.68x = 127,582,492.04
  5. Step 5: Solve for x
    x = 127,582,492.04/12,180.68
  6. Step 6: Final answer
    x = 10,474.17

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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.