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Finding the Fourth Proportional to 20,426.40, 30,610.80 and 8,100

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Solution

The fourth proportional to 20,426.40, 30,610.80 and 8,100 is: 12,138.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,426.40 : 30,610.80 = 8,100 : x
  2. Step 2: Convert to fraction form
    20,426.40/30,610.80 = 8,100/x
  3. Step 3: Cross multiply
    20,426.40x = 30,610.80 × 8,100
  4. Step 4: Simplify right side
    20,426.40x = 247,947,480
  5. Step 5: Solve for x
    x = 247,947,480/20,426.40
  6. Step 6: Final answer
    x = 12,138.58

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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.