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Finding the Fourth Proportional to 18,849.30, 28,236.88 and 9,478

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Solution

The fourth proportional to 18,849.30, 28,236.88 and 9,478 is: 14,198.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,849.30 : 28,236.88 = 9,478 : x
  2. Step 2: Convert to fraction form
    18,849.30/28,236.88 = 9,478/x
  3. Step 3: Cross multiply
    18,849.30x = 28,236.88 × 9,478
  4. Step 4: Simplify right side
    18,849.30x = 267,629,148.64
  5. Step 5: Solve for x
    x = 267,629,148.64/18,849.30
  6. Step 6: Final answer
    x = 14,198.36

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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.