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Finding the Fourth Proportional to 18,938.80, 28,370.24 and 11,438

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Solution

The fourth proportional to 18,938.80, 28,370.24 and 11,438 is: 17,134.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,938.80 : 28,370.24 = 11,438 : x
  2. Step 2: Convert to fraction form
    18,938.80/28,370.24 = 11,438/x
  3. Step 3: Cross multiply
    18,938.80x = 28,370.24 × 11,438
  4. Step 4: Simplify right side
    18,938.80x = 324,498,805.12
  5. Step 5: Solve for x
    x = 324,498,805.12/18,938.80
  6. Step 6: Final answer
    x = 17,134.07

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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.