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Finding the Fourth Proportional to 20,883.92, 31,327.86 and 7,560.27

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Solution

The fourth proportional to 20,883.92, 31,327.86 and 7,560.27 is: 11,341.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,883.92 : 31,327.86 = 7,560.27 : x
  2. Step 2: Convert to fraction form
    20,883.92/31,327.86 = 7,560.27/x
  3. Step 3: Cross multiply
    20,883.92x = 31,327.86 × 7,560.27
  4. Step 4: Simplify right side
    20,883.92x = 236,847,042.32
  5. Step 5: Solve for x
    x = 236,847,042.32/20,883.92
  6. Step 6: Final answer
    x = 11,341.12

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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.