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Finding the Fourth Proportional to 12,217.96, 16,855.74 and 8,240.32

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Solution

The fourth proportional to 12,217.96, 16,855.74 and 8,240.32 is: 11,368.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,217.96 : 16,855.74 = 8,240.32 : x
  2. Step 2: Convert to fraction form
    12,217.96/16,855.74 = 8,240.32/x
  3. Step 3: Cross multiply
    12,217.96x = 16,855.74 × 8,240.32
  4. Step 4: Simplify right side
    12,217.96x = 138,896,691.44
  5. Step 5: Solve for x
    x = 138,896,691.44/12,217.96
  6. Step 6: Final answer
    x = 11,368.24

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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.