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Finding the Fourth Proportional to 22,963.41, 34,438.23 and 8,170.38

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Solution

The fourth proportional to 22,963.41, 34,438.23 and 8,170.38 is: 12,253.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,963.41 : 34,438.23 = 8,170.38 : x
  2. Step 2: Convert to fraction form
    22,963.41/34,438.23 = 8,170.38/x
  3. Step 3: Cross multiply
    22,963.41x = 34,438.23 × 8,170.38
  4. Step 4: Simplify right side
    22,963.41x = 281,373,425.63
  5. Step 5: Solve for x
    x = 281,373,425.63/22,963.41
  6. Step 6: Final answer
    x = 12,253.12

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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.