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Finding the Fourth Proportional to 20,652.77, 30,974.81 and 5,857.72

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Solution

The fourth proportional to 20,652.77, 30,974.81 and 5,857.72 is: 8,785.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,652.77 : 30,974.81 = 5,857.72 : x
  2. Step 2: Convert to fraction form
    20,652.77/30,974.81 = 5,857.72/x
  3. Step 3: Cross multiply
    20,652.77x = 30,974.81 × 5,857.72
  4. Step 4: Simplify right side
    20,652.77x = 181,441,657.31
  5. Step 5: Solve for x
    x = 181,441,657.31/20,652.77
  6. Step 6: Final answer
    x = 8,785.34

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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.