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Finding the Fourth Proportional to 22,745.72, 34,098.42 and 8,884.28

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Solution

The fourth proportional to 22,745.72, 34,098.42 and 8,884.28 is: 13,318.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,745.72 : 34,098.42 = 8,884.28 : x
  2. Step 2: Convert to fraction form
    22,745.72/34,098.42 = 8,884.28/x
  3. Step 3: Cross multiply
    22,745.72x = 34,098.42 × 8,884.28
  4. Step 4: Simplify right side
    22,745.72x = 302,939,910.84
  5. Step 5: Solve for x
    x = 302,939,910.84/22,745.72
  6. Step 6: Final answer
    x = 13,318.55

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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.