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Finding the Fourth Proportional to 23,144.70, 34,711.64 and 6,506.33

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Solution

The fourth proportional to 23,144.70, 34,711.64 and 6,506.33 is: 9,757.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,144.70 : 34,711.64 = 6,506.33 : x
  2. Step 2: Convert to fraction form
    23,144.70/34,711.64 = 6,506.33/x
  3. Step 3: Cross multiply
    23,144.70x = 34,711.64 × 6,506.33
  4. Step 4: Simplify right side
    23,144.70x = 225,845,202.99
  5. Step 5: Solve for x
    x = 225,845,202.99/23,144.70
  6. Step 6: Final answer
    x = 9,757.96

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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.