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Finding the Fourth Proportional to 20,701.52, 28,563.24 and 11,747

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Solution

The fourth proportional to 20,701.52, 28,563.24 and 11,747 is: 16,208.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,701.52 : 28,563.24 = 11,747 : x
  2. Step 2: Convert to fraction form
    20,701.52/28,563.24 = 11,747/x
  3. Step 3: Cross multiply
    20,701.52x = 28,563.24 × 11,747
  4. Step 4: Simplify right side
    20,701.52x = 335,532,380.28
  5. Step 5: Solve for x
    x = 335,532,380.28/20,701.52
  6. Step 6: Final answer
    x = 16,208.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.