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Finding the Fourth Proportional to 20,510.46, 30,771.20 and 6,471.03

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Solution

The fourth proportional to 20,510.46, 30,771.20 and 6,471.03 is: 9,708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,510.46 : 30,771.20 = 6,471.03 : x
  2. Step 2: Convert to fraction form
    20,510.46/30,771.20 = 6,471.03/x
  3. Step 3: Cross multiply
    20,510.46x = 30,771.20 × 6,471.03
  4. Step 4: Simplify right side
    20,510.46x = 199,121,358.34
  5. Step 5: Solve for x
    x = 199,121,358.34/20,510.46
  6. Step 6: Final answer
    x = 9,708.28

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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.