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Finding the Fourth Proportional to 20,759.28, 31,249.71 and 18,616

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Solution

The fourth proportional to 20,759.28, 31,249.71 and 18,616 is: 28,023.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,759.28 : 31,249.71 = 18,616 : x
  2. Step 2: Convert to fraction form
    20,759.28/31,249.71 = 18,616/x
  3. Step 3: Cross multiply
    20,759.28x = 31,249.71 × 18,616
  4. Step 4: Simplify right side
    20,759.28x = 581,744,601.36
  5. Step 5: Solve for x
    x = 581,744,601.36/20,759.28
  6. Step 6: Final answer
    x = 28,023.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.