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Finding the Fourth Proportional to 20,077.66, 30,131.07 and 11,329.66

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Solution

The fourth proportional to 20,077.66, 30,131.07 and 11,329.66 is: 17,002.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,077.66 : 30,131.07 = 11,329.66 : x
  2. Step 2: Convert to fraction form
    20,077.66/30,131.07 = 11,329.66/x
  3. Step 3: Cross multiply
    20,077.66x = 30,131.07 × 11,329.66
  4. Step 4: Simplify right side
    20,077.66x = 341,374,778.54
  5. Step 5: Solve for x
    x = 341,374,778.54/20,077.66
  6. Step 6: Final answer
    x = 17,002.72

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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.