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Finding the Fourth Proportional to 22,596.96, 33,862.56 and 10,896.48

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Solution

The fourth proportional to 22,596.96, 33,862.56 and 10,896.48 is: 16,328.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,596.96 : 33,862.56 = 10,896.48 : x
  2. Step 2: Convert to fraction form
    22,596.96/33,862.56 = 10,896.48/x
  3. Step 3: Cross multiply
    22,596.96x = 33,862.56 × 10,896.48
  4. Step 4: Simplify right side
    22,596.96x = 368,982,707.79
  5. Step 5: Solve for x
    x = 368,982,707.79/22,596.96
  6. Step 6: Final answer
    x = 16,328.86

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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.