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Finding the Fourth Proportional to 20,557.42, 30,838.06 and 5,766.27

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Solution

The fourth proportional to 20,557.42, 30,838.06 and 5,766.27 is: 8,649.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,557.42 : 30,838.06 = 5,766.27 : x
  2. Step 2: Convert to fraction form
    20,557.42/30,838.06 = 5,766.27/x
  3. Step 3: Cross multiply
    20,557.42x = 30,838.06 × 5,766.27
  4. Step 4: Simplify right side
    20,557.42x = 177,820,587.44
  5. Step 5: Solve for x
    x = 177,820,587.44/20,557.42
  6. Step 6: Final answer
    x = 8,649.95

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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.