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Finding the Fourth Proportional to 22,950.24, 34,427.52 and 9,096

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Solution

The fourth proportional to 22,950.24, 34,427.52 and 9,096 is: 13,644.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,950.24 : 34,427.52 = 9,096 : x
  2. Step 2: Convert to fraction form
    22,950.24/34,427.52 = 9,096/x
  3. Step 3: Cross multiply
    22,950.24x = 34,427.52 × 9,096
  4. Step 4: Simplify right side
    22,950.24x = 313,152,721.92
  5. Step 5: Solve for x
    x = 313,152,721.92/22,950.24
  6. Step 6: Final answer
    x = 13,644.86

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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.