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Finding the Fourth Proportional to 22,744.67, 34,110.43 and 7,751.46

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Solution

The fourth proportional to 22,744.67, 34,110.43 and 7,751.46 is: 11,624.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,744.67 : 34,110.43 = 7,751.46 : x
  2. Step 2: Convert to fraction form
    22,744.67/34,110.43 = 7,751.46/x
  3. Step 3: Cross multiply
    22,744.67x = 34,110.43 × 7,751.46
  4. Step 4: Simplify right side
    22,744.67x = 264,405,498.06
  5. Step 5: Solve for x
    x = 264,405,498.06/22,744.67
  6. Step 6: Final answer
    x = 11,624.94

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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.