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Finding the Fourth Proportional to 20,728.90, 31,093.35 and 5,146.53

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Solution

The fourth proportional to 20,728.90, 31,093.35 and 5,146.53 is: 7,719.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,728.90 : 31,093.35 = 5,146.53 : x
  2. Step 2: Convert to fraction form
    20,728.90/31,093.35 = 5,146.53/x
  3. Step 3: Cross multiply
    20,728.90x = 31,093.35 × 5,146.53
  4. Step 4: Simplify right side
    20,728.90x = 160,022,853.55
  5. Step 5: Solve for x
    x = 160,022,853.55/20,728.90
  6. Step 6: Final answer
    x = 7,719.79

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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.