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Finding the Fourth Proportional to 23,231.70, 34,842.69 and 7,640.82

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Solution

The fourth proportional to 23,231.70, 34,842.69 and 7,640.82 is: 11,459.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,231.70 : 34,842.69 = 7,640.82 : x
  2. Step 2: Convert to fraction form
    23,231.70/34,842.69 = 7,640.82/x
  3. Step 3: Cross multiply
    23,231.70x = 34,842.69 × 7,640.82
  4. Step 4: Simplify right side
    23,231.70x = 266,226,722.61
  5. Step 5: Solve for x
    x = 266,226,722.61/23,231.70
  6. Step 6: Final answer
    x = 11,459.63

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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.