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Finding the Fourth Proportional to 28,145.72, 42,203 and 11,517.44

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Solution

The fourth proportional to 28,145.72, 42,203 and 11,517.44 is: 17,269.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,145.72 : 42,203 = 11,517.44 : x
  2. Step 2: Convert to fraction form
    28,145.72/42,203 = 11,517.44/x
  3. Step 3: Cross multiply
    28,145.72x = 42,203 × 11,517.44
  4. Step 4: Simplify right side
    28,145.72x = 486,070,520.32
  5. Step 5: Solve for x
    x = 486,070,520.32/28,145.72
  6. Step 6: Final answer
    x = 17,269.78

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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.