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Finding the Fourth Proportional to 20,764.60, 31,146.73 and 5,182.22

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Solution

The fourth proportional to 20,764.60, 31,146.73 and 5,182.22 is: 7,773.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,764.60 : 31,146.73 = 5,182.22 : x
  2. Step 2: Convert to fraction form
    20,764.60/31,146.73 = 5,182.22/x
  3. Step 3: Cross multiply
    20,764.60x = 31,146.73 × 5,182.22
  4. Step 4: Simplify right side
    20,764.60x = 161,409,207.14
  5. Step 5: Solve for x
    x = 161,409,207.14/20,764.60
  6. Step 6: Final answer
    x = 7,773.29

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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.