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Finding the Fourth Proportional to 20,177.64, 30,201.73 and 10,794.19

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Solution

The fourth proportional to 20,177.64, 30,201.73 and 10,794.19 is: 16,156.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,177.64 : 30,201.73 = 10,794.19 : x
  2. Step 2: Convert to fraction form
    20,177.64/30,201.73 = 10,794.19/x
  3. Step 3: Cross multiply
    20,177.64x = 30,201.73 × 10,794.19
  4. Step 4: Simplify right side
    20,177.64x = 326,003,211.95
  5. Step 5: Solve for x
    x = 326,003,211.95/20,177.64
  6. Step 6: Final answer
    x = 16,156.66

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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.