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Finding the Fourth Proportional to 20,722.70, 31,085.14 and 5,933.78

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Solution

The fourth proportional to 20,722.70, 31,085.14 and 5,933.78 is: 8,900.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,722.70 : 31,085.14 = 5,933.78 : x
  2. Step 2: Convert to fraction form
    20,722.70/31,085.14 = 5,933.78/x
  3. Step 3: Cross multiply
    20,722.70x = 31,085.14 × 5,933.78
  4. Step 4: Simplify right side
    20,722.70x = 184,452,382.03
  5. Step 5: Solve for x
    x = 184,452,382.03/20,722.70
  6. Step 6: Final answer
    x = 8,900.98

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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.