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Finding the Fourth Proportional to 12,343.14, 18,517.92 and 4,947.84

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Solution

The fourth proportional to 12,343.14, 18,517.92 and 4,947.84 is: 7,423.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,343.14 : 18,517.92 = 4,947.84 : x
  2. Step 2: Convert to fraction form
    12,343.14/18,517.92 = 4,947.84/x
  3. Step 3: Cross multiply
    12,343.14x = 18,517.92 × 4,947.84
  4. Step 4: Simplify right side
    12,343.14x = 91,623,705.29
  5. Step 5: Solve for x
    x = 91,623,705.29/12,343.14
  6. Step 6: Final answer
    x = 7,423.05

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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.