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Finding the Fourth Proportional to 20,845.68, 31,249.08 and 7,694.52

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Solution

The fourth proportional to 20,845.68, 31,249.08 and 7,694.52 is: 11,534.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,845.68 : 31,249.08 = 7,694.52 : x
  2. Step 2: Convert to fraction form
    20,845.68/31,249.08 = 7,694.52/x
  3. Step 3: Cross multiply
    20,845.68x = 31,249.08 × 7,694.52
  4. Step 4: Simplify right side
    20,845.68x = 240,446,671.04
  5. Step 5: Solve for x
    x = 240,446,671.04/20,845.68
  6. Step 6: Final answer
    x = 11,534.60

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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.