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Finding the Fourth Proportional to 22,047.21, 33,074.87 and 7,257.02

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Solution

The fourth proportional to 22,047.21, 33,074.87 and 7,257.02 is: 10,886.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,047.21 : 33,074.87 = 7,257.02 : x
  2. Step 2: Convert to fraction form
    22,047.21/33,074.87 = 7,257.02/x
  3. Step 3: Cross multiply
    22,047.21x = 33,074.87 × 7,257.02
  4. Step 4: Simplify right side
    22,047.21x = 240,024,791.43
  5. Step 5: Solve for x
    x = 240,024,791.43/22,047.21
  6. Step 6: Final answer
    x = 10,886.86

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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.