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Finding the Fourth Proportional to 22,896.98, 34,357.85 and 9,571.14

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Solution

The fourth proportional to 22,896.98, 34,357.85 and 9,571.14 is: 14,361.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,896.98 : 34,357.85 = 9,571.14 : x
  2. Step 2: Convert to fraction form
    22,896.98/34,357.85 = 9,571.14/x
  3. Step 3: Cross multiply
    22,896.98x = 34,357.85 × 9,571.14
  4. Step 4: Simplify right side
    22,896.98x = 328,843,656.93
  5. Step 5: Solve for x
    x = 328,843,656.93/22,896.98
  6. Step 6: Final answer
    x = 14,361.88

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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.