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Finding the Fourth Proportional to 11,326.98, 16,976.49 and 8,217.66

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Solution

The fourth proportional to 11,326.98, 16,976.49 and 8,217.66 is: 12,316.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,326.98 : 16,976.49 = 8,217.66 : x
  2. Step 2: Convert to fraction form
    11,326.98/16,976.49 = 8,217.66/x
  3. Step 3: Cross multiply
    11,326.98x = 16,976.49 × 8,217.66
  4. Step 4: Simplify right side
    11,326.98x = 139,507,022.81
  5. Step 5: Solve for x
    x = 139,507,022.81/11,326.98
  6. Step 6: Final answer
    x = 12,316.35

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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.