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Finding the Fourth Proportional to 12,920.32, 17,826.56 and 8,202.24

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Solution

The fourth proportional to 12,920.32, 17,826.56 and 8,202.24 is: 11,316.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,920.32 : 17,826.56 = 8,202.24 : x
  2. Step 2: Convert to fraction form
    12,920.32/17,826.56 = 8,202.24/x
  3. Step 3: Cross multiply
    12,920.32x = 17,826.56 × 8,202.24
  4. Step 4: Simplify right side
    12,920.32x = 146,217,723.49
  5. Step 5: Solve for x
    x = 146,217,723.49/12,920.32
  6. Step 6: Final answer
    x = 11,316.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.