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Finding the Fourth Proportional to 20,820.96, 31,211.76 and 6,960

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Solution

The fourth proportional to 20,820.96, 31,211.76 and 6,960 is: 10,433.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,820.96 : 31,211.76 = 6,960 : x
  2. Step 2: Convert to fraction form
    20,820.96/31,211.76 = 6,960/x
  3. Step 3: Cross multiply
    20,820.96x = 31,211.76 × 6,960
  4. Step 4: Simplify right side
    20,820.96x = 217,233,849.60
  5. Step 5: Solve for x
    x = 217,233,849.60/20,820.96
  6. Step 6: Final answer
    x = 10,433.42

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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.