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Finding the Fourth Proportional to 22,855.88, 34,286.52 and 9,700.94

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Solution

The fourth proportional to 22,855.88, 34,286.52 and 9,700.94 is: 14,552.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,855.88 : 34,286.52 = 9,700.94 : x
  2. Step 2: Convert to fraction form
    22,855.88/34,286.52 = 9,700.94/x
  3. Step 3: Cross multiply
    22,855.88x = 34,286.52 × 9,700.94
  4. Step 4: Simplify right side
    22,855.88x = 332,611,473.33
  5. Step 5: Solve for x
    x = 332,611,473.33/22,855.88
  6. Step 6: Final answer
    x = 14,552.56

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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.