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Finding the Fourth Proportional to 20,934.30, 31,397.94 and 6,894.48

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Solution

The fourth proportional to 20,934.30, 31,397.94 and 6,894.48 is: 10,340.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,934.30 : 31,397.94 = 6,894.48 : x
  2. Step 2: Convert to fraction form
    20,934.30/31,397.94 = 6,894.48/x
  3. Step 3: Cross multiply
    20,934.30x = 31,397.94 × 6,894.48
  4. Step 4: Simplify right side
    20,934.30x = 216,472,469.37
  5. Step 5: Solve for x
    x = 216,472,469.37/20,934.30
  6. Step 6: Final answer
    x = 10,340.56

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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.