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Finding the Fourth Proportional to 22,523.49, 33,774.05 and 13,165.85

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Solution

The fourth proportional to 22,523.49, 33,774.05 and 13,165.85 is: 19,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.49 : 33,774.05 = 13,165.85 : x
  2. Step 2: Convert to fraction form
    22,523.49/33,774.05 = 13,165.85/x
  3. Step 3: Cross multiply
    22,523.49x = 33,774.05 × 13,165.85
  4. Step 4: Simplify right side
    22,523.49x = 444,664,193.54
  5. Step 5: Solve for x
    x = 444,664,193.54/22,523.49
  6. Step 6: Final answer
    x = 19,742.24

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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.