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Finding the Fourth Proportional to 20,577.40, 30,866.10 and 6,727.80

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Solution

The fourth proportional to 20,577.40, 30,866.10 and 6,727.80 is: 10,091.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,577.40 : 30,866.10 = 6,727.80 : x
  2. Step 2: Convert to fraction form
    20,577.40/30,866.10 = 6,727.80/x
  3. Step 3: Cross multiply
    20,577.40x = 30,866.10 × 6,727.80
  4. Step 4: Simplify right side
    20,577.40x = 207,660,947.58
  5. Step 5: Solve for x
    x = 207,660,947.58/20,577.40
  6. Step 6: Final answer
    x = 10,091.70

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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.