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Finding the Fourth Proportional to 22,115.85, 33,174.63 and 6,533.46

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Solution

The fourth proportional to 22,115.85, 33,174.63 and 6,533.46 is: 9,800.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,115.85 : 33,174.63 = 6,533.46 : x
  2. Step 2: Convert to fraction form
    22,115.85/33,174.63 = 6,533.46/x
  3. Step 3: Cross multiply
    22,115.85x = 33,174.63 × 6,533.46
  4. Step 4: Simplify right side
    22,115.85x = 216,745,118.12
  5. Step 5: Solve for x
    x = 216,745,118.12/22,115.85
  6. Step 6: Final answer
    x = 9,800.44

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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.