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Finding the Fourth Proportional to 18,843.24, 28,265.46 and 9,478.14

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Solution

The fourth proportional to 18,843.24, 28,265.46 and 9,478.14 is: 14,217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,843.24 : 28,265.46 = 9,478.14 : x
  2. Step 2: Convert to fraction form
    18,843.24/28,265.46 = 9,478.14/x
  3. Step 3: Cross multiply
    18,843.24x = 28,265.46 × 9,478.14
  4. Step 4: Simplify right side
    18,843.24x = 267,903,987.04
  5. Step 5: Solve for x
    x = 267,903,987.04/18,843.24
  6. Step 6: Final answer
    x = 14,217.51

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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.