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Finding the Fourth Proportional to 20,768.72, 31,141.11 and 14,202.86

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Solution

The fourth proportional to 20,768.72, 31,141.11 and 14,202.86 is: 21,296.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,768.72 : 31,141.11 = 14,202.86 : x
  2. Step 2: Convert to fraction form
    20,768.72/31,141.11 = 14,202.86/x
  3. Step 3: Cross multiply
    20,768.72x = 31,141.11 × 14,202.86
  4. Step 4: Simplify right side
    20,768.72x = 442,292,825.57
  5. Step 5: Solve for x
    x = 442,292,825.57/20,768.72
  6. Step 6: Final answer
    x = 21,296.10

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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.