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Finding the Fourth Proportional to 22,102.84, 33,157.50 and 6,518.44

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Solution

The fourth proportional to 22,102.84, 33,157.50 and 6,518.44 is: 9,778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,102.84 : 33,157.50 = 6,518.44 : x
  2. Step 2: Convert to fraction form
    22,102.84/33,157.50 = 6,518.44/x
  3. Step 3: Cross multiply
    22,102.84x = 33,157.50 × 6,518.44
  4. Step 4: Simplify right side
    22,102.84x = 216,135,174.30
  5. Step 5: Solve for x
    x = 216,135,174.30/22,102.84
  6. Step 6: Final answer
    x = 9,778.62

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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.