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Finding the Fourth Proportional to 20,894.28, 31,352.76 and 13,857

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Solution

The fourth proportional to 20,894.28, 31,352.76 and 13,857 is: 20,793.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,894.28 : 31,352.76 = 13,857 : x
  2. Step 2: Convert to fraction form
    20,894.28/31,352.76 = 13,857/x
  3. Step 3: Cross multiply
    20,894.28x = 31,352.76 × 13,857
  4. Step 4: Simplify right side
    20,894.28x = 434,455,195.32
  5. Step 5: Solve for x
    x = 434,455,195.32/20,894.28
  6. Step 6: Final answer
    x = 20,793.02

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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.