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Finding the Fourth Proportional to 22,658.37, 33,974.19 and 6,858.60

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Solution

The fourth proportional to 22,658.37, 33,974.19 and 6,858.60 is: 10,283.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,658.37 : 33,974.19 = 6,858.60 : x
  2. Step 2: Convert to fraction form
    22,658.37/33,974.19 = 6,858.60/x
  3. Step 3: Cross multiply
    22,658.37x = 33,974.19 × 6,858.60
  4. Step 4: Simplify right side
    22,658.37x = 233,015,379.53
  5. Step 5: Solve for x
    x = 233,015,379.53/22,658.37
  6. Step 6: Final answer
    x = 10,283.85

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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.