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Finding the Fourth Proportional to 20,510.20, 30,749.10 and 8,813.80

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Solution

The fourth proportional to 20,510.20, 30,749.10 and 8,813.80 is: 13,213.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,510.20 : 30,749.10 = 8,813.80 : x
  2. Step 2: Convert to fraction form
    20,510.20/30,749.10 = 8,813.80/x
  3. Step 3: Cross multiply
    20,510.20x = 30,749.10 × 8,813.80
  4. Step 4: Simplify right side
    20,510.20x = 271,016,417.58
  5. Step 5: Solve for x
    x = 271,016,417.58/20,510.20
  6. Step 6: Final answer
    x = 13,213.74

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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.