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Finding the Fourth Proportional to 20,226.78, 30,327.02 and 9,696.52

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Solution

The fourth proportional to 20,226.78, 30,327.02 and 9,696.52 is: 14,538.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,226.78 : 30,327.02 = 9,696.52 : x
  2. Step 2: Convert to fraction form
    20,226.78/30,327.02 = 9,696.52/x
  3. Step 3: Cross multiply
    20,226.78x = 30,327.02 × 9,696.52
  4. Step 4: Simplify right side
    20,226.78x = 294,066,555.97
  5. Step 5: Solve for x
    x = 294,066,555.97/20,226.78
  6. Step 6: Final answer
    x = 14,538.48

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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.