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Finding the Fourth Proportional to 22,182.82, 33,274.10 and 5,542.77

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Solution

The fourth proportional to 22,182.82, 33,274.10 and 5,542.77 is: 8,314.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,182.82 : 33,274.10 = 5,542.77 : x
  2. Step 2: Convert to fraction form
    22,182.82/33,274.10 = 5,542.77/x
  3. Step 3: Cross multiply
    22,182.82x = 33,274.10 × 5,542.77
  4. Step 4: Simplify right side
    22,182.82x = 184,430,489.17
  5. Step 5: Solve for x
    x = 184,430,489.17/22,182.82
  6. Step 6: Final answer
    x = 8,314.11

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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.