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Finding the Fourth Proportional to 22,737.24, 34,101 and 6,938.73

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Solution

The fourth proportional to 22,737.24, 34,101 and 6,938.73 is: 10,406.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,737.24 : 34,101 = 6,938.73 : x
  2. Step 2: Convert to fraction form
    22,737.24/34,101 = 6,938.73/x
  3. Step 3: Cross multiply
    22,737.24x = 34,101 × 6,938.73
  4. Step 4: Simplify right side
    22,737.24x = 236,617,631.73
  5. Step 5: Solve for x
    x = 236,617,631.73/22,737.24
  6. Step 6: Final answer
    x = 10,406.61

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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.