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Finding the Fourth Proportional to 28,268.28, 42,380.40 and 12,675

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Solution

The fourth proportional to 28,268.28, 42,380.40 and 12,675 is: 19,002.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,268.28 : 42,380.40 = 12,675 : x
  2. Step 2: Convert to fraction form
    28,268.28/42,380.40 = 12,675/x
  3. Step 3: Cross multiply
    28,268.28x = 42,380.40 × 12,675
  4. Step 4: Simplify right side
    28,268.28x = 537,171,570
  5. Step 5: Solve for x
    x = 537,171,570/28,268.28
  6. Step 6: Final answer
    x = 19,002.63

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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.