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Finding the Fourth Proportional to 22,397.37, 33,616.82 and 11,311.84

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Solution

The fourth proportional to 22,397.37, 33,616.82 and 11,311.84 is: 16,978.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,397.37 : 33,616.82 = 11,311.84 : x
  2. Step 2: Convert to fraction form
    22,397.37/33,616.82 = 11,311.84/x
  3. Step 3: Cross multiply
    22,397.37x = 33,616.82 × 11,311.84
  4. Step 4: Simplify right side
    22,397.37x = 380,267,970.35
  5. Step 5: Solve for x
    x = 380,267,970.35/22,397.37
  6. Step 6: Final answer
    x = 16,978.24

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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.