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Finding the Fourth Proportional to 22,957.70, 34,436.97 and 6,317.64

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Solution

The fourth proportional to 22,957.70, 34,436.97 and 6,317.64 is: 9,476.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,957.70 : 34,436.97 = 6,317.64 : x
  2. Step 2: Convert to fraction form
    22,957.70/34,436.97 = 6,317.64/x
  3. Step 3: Cross multiply
    22,957.70x = 34,436.97 × 6,317.64
  4. Step 4: Simplify right side
    22,957.70x = 217,560,379.15
  5. Step 5: Solve for x
    x = 217,560,379.15/22,957.70
  6. Step 6: Final answer
    x = 9,476.58

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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.