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Finding the Fourth Proportional to 12,216.96, 16,854.36 and 8,239.32

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Solution

The fourth proportional to 12,216.96, 16,854.36 and 8,239.32 is: 11,366.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,216.96 : 16,854.36 = 8,239.32 : x
  2. Step 2: Convert to fraction form
    12,216.96/16,854.36 = 8,239.32/x
  3. Step 3: Cross multiply
    12,216.96x = 16,854.36 × 8,239.32
  4. Step 4: Simplify right side
    12,216.96x = 138,868,465.44
  5. Step 5: Solve for x
    x = 138,868,465.44/12,216.96
  6. Step 6: Final answer
    x = 11,366.86

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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.