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Finding the Fourth Proportional to 22,953.84, 34,439.94 and 8,163.78

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Solution

The fourth proportional to 22,953.84, 34,439.94 and 8,163.78 is: 12,248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,953.84 : 34,439.94 = 8,163.78 : x
  2. Step 2: Convert to fraction form
    22,953.84/34,439.94 = 8,163.78/x
  3. Step 3: Cross multiply
    22,953.84x = 34,439.94 × 8,163.78
  4. Step 4: Simplify right side
    22,953.84x = 281,160,093.37
  5. Step 5: Solve for x
    x = 281,160,093.37/22,953.84
  6. Step 6: Final answer
    x = 12,248.93

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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.