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Finding the Fourth Proportional to 20,755.70, 31,133.55 and 5,965.10

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Solution

The fourth proportional to 20,755.70, 31,133.55 and 5,965.10 is: 8,947.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,755.70 : 31,133.55 = 5,965.10 : x
  2. Step 2: Convert to fraction form
    20,755.70/31,133.55 = 5,965.10/x
  3. Step 3: Cross multiply
    20,755.70x = 31,133.55 × 5,965.10
  4. Step 4: Simplify right side
    20,755.70x = 185,714,739.11
  5. Step 5: Solve for x
    x = 185,714,739.11/20,755.70
  6. Step 6: Final answer
    x = 8,947.65

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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.