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Finding the Fourth Proportional to 22,764.78, 34,148.79 and 7,182

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Solution

The fourth proportional to 22,764.78, 34,148.79 and 7,182 is: 10,773.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,764.78 : 34,148.79 = 7,182 : x
  2. Step 2: Convert to fraction form
    22,764.78/34,148.79 = 7,182/x
  3. Step 3: Cross multiply
    22,764.78x = 34,148.79 × 7,182
  4. Step 4: Simplify right side
    22,764.78x = 245,256,609.78
  5. Step 5: Solve for x
    x = 245,256,609.78/22,764.78
  6. Step 6: Final answer
    x = 10,773.51

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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.