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Finding the Fourth Proportional to 22,367.56, 33,552.36 and 15,823

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Solution

The fourth proportional to 22,367.56, 33,552.36 and 15,823 is: 23,735.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,367.56 : 33,552.36 = 15,823 : x
  2. Step 2: Convert to fraction form
    22,367.56/33,552.36 = 15,823/x
  3. Step 3: Cross multiply
    22,367.56x = 33,552.36 × 15,823
  4. Step 4: Simplify right side
    22,367.56x = 530,898,992.28
  5. Step 5: Solve for x
    x = 530,898,992.28/22,367.56
  6. Step 6: Final answer
    x = 23,735.22

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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.