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Finding the Fourth Proportional to 20,057.44, 30,085.77 and 6,909.52

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Solution

The fourth proportional to 20,057.44, 30,085.77 and 6,909.52 is: 10,364.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,057.44 : 30,085.77 = 6,909.52 : x
  2. Step 2: Convert to fraction form
    20,057.44/30,085.77 = 6,909.52/x
  3. Step 3: Cross multiply
    20,057.44x = 30,085.77 × 6,909.52
  4. Step 4: Simplify right side
    20,057.44x = 207,878,229.53
  5. Step 5: Solve for x
    x = 207,878,229.53/20,057.44
  6. Step 6: Final answer
    x = 10,364.15

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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.