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Finding the Fourth Proportional to 20,865.60, 31,266 and 13,463.82

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Solution

The fourth proportional to 20,865.60, 31,266 and 13,463.82 is: 20,174.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,865.60 : 31,266 = 13,463.82 : x
  2. Step 2: Convert to fraction form
    20,865.60/31,266 = 13,463.82/x
  3. Step 3: Cross multiply
    20,865.60x = 31,266 × 13,463.82
  4. Step 4: Simplify right side
    20,865.60x = 420,959,796.12
  5. Step 5: Solve for x
    x = 420,959,796.12/20,865.60
  6. Step 6: Final answer
    x = 20,174.82

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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.