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Finding the Fourth Proportional to 20,694.76, 31,023.78 and 9,001.60

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Solution

The fourth proportional to 20,694.76, 31,023.78 and 9,001.60 is: 13,494.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,694.76 : 31,023.78 = 9,001.60 : x
  2. Step 2: Convert to fraction form
    20,694.76/31,023.78 = 9,001.60/x
  3. Step 3: Cross multiply
    20,694.76x = 31,023.78 × 9,001.60
  4. Step 4: Simplify right side
    20,694.76x = 279,263,658.05
  5. Step 5: Solve for x
    x = 279,263,658.05/20,694.76
  6. Step 6: Final answer
    x = 13,494.41

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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.