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Finding the Fourth Proportional to 20,147.82, 30,190.94 and 8,454.66

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Solution

The fourth proportional to 20,147.82, 30,190.94 and 8,454.66 is: 12,669.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147.82 : 30,190.94 = 8,454.66 : x
  2. Step 2: Convert to fraction form
    20,147.82/30,190.94 = 8,454.66/x
  3. Step 3: Cross multiply
    20,147.82x = 30,190.94 × 8,454.66
  4. Step 4: Simplify right side
    20,147.82x = 255,254,132.78
  5. Step 5: Solve for x
    x = 255,254,132.78/20,147.82
  6. Step 6: Final answer
    x = 12,669.07

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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.