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Finding the Fourth Proportional to 12,202.21, 18,305.76 and 5,182.17

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Solution

The fourth proportional to 12,202.21, 18,305.76 and 5,182.17 is: 7,774.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.21 : 18,305.76 = 5,182.17 : x
  2. Step 2: Convert to fraction form
    12,202.21/18,305.76 = 5,182.17/x
  3. Step 3: Cross multiply
    12,202.21x = 18,305.76 × 5,182.17
  4. Step 4: Simplify right side
    12,202.21x = 94,863,560.30
  5. Step 5: Solve for x
    x = 94,863,560.30/12,202.21
  6. Step 6: Final answer
    x = 7,774.29

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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.