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Finding the Fourth Proportional to 20,960.70, 31,434.38 and 6,918.11

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Solution

The fourth proportional to 20,960.70, 31,434.38 and 6,918.11 is: 10,374.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,960.70 : 31,434.38 = 6,918.11 : x
  2. Step 2: Convert to fraction form
    20,960.70/31,434.38 = 6,918.11/x
  3. Step 3: Cross multiply
    20,960.70x = 31,434.38 × 6,918.11
  4. Step 4: Simplify right side
    20,960.70x = 217,466,498.62
  5. Step 5: Solve for x
    x = 217,466,498.62/20,960.70
  6. Step 6: Final answer
    x = 10,374.96

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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.