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Finding the Fourth Proportional to 20,952.75, 31,422.45 and 6,910.15

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Solution

The fourth proportional to 20,952.75, 31,422.45 and 6,910.15 is: 10,363.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,952.75 : 31,422.45 = 6,910.15 : x
  2. Step 2: Convert to fraction form
    20,952.75/31,422.45 = 6,910.15/x
  3. Step 3: Cross multiply
    20,952.75x = 31,422.45 × 6,910.15
  4. Step 4: Simplify right side
    20,952.75x = 217,133,810.27
  5. Step 5: Solve for x
    x = 217,133,810.27/20,952.75
  6. Step 6: Final answer
    x = 10,363.02

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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.