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Finding the Fourth Proportional to 20,803.72, 31,207.50 and 6,954.76

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Solution

The fourth proportional to 20,803.72, 31,207.50 and 6,954.76 is: 10,432.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,803.72 : 31,207.50 = 6,954.76 : x
  2. Step 2: Convert to fraction form
    20,803.72/31,207.50 = 6,954.76/x
  3. Step 3: Cross multiply
    20,803.72x = 31,207.50 × 6,954.76
  4. Step 4: Simplify right side
    20,803.72x = 217,040,672.70
  5. Step 5: Solve for x
    x = 217,040,672.70/20,803.72
  6. Step 6: Final answer
    x = 10,432.78

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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.