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Finding the Fourth Proportional to 22,538.32, 33,808.25 and 7,747.11

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Solution

The fourth proportional to 22,538.32, 33,808.25 and 7,747.11 is: 11,620.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,538.32 : 33,808.25 = 7,747.11 : x
  2. Step 2: Convert to fraction form
    22,538.32/33,808.25 = 7,747.11/x
  3. Step 3: Cross multiply
    22,538.32x = 33,808.25 × 7,747.11
  4. Step 4: Simplify right side
    22,538.32x = 261,916,251.03
  5. Step 5: Solve for x
    x = 261,916,251.03/22,538.32
  6. Step 6: Final answer
    x = 11,620.93

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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.