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Finding the Fourth Proportional to 16,531.62, 22,813.82 and 8,978.03

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Solution

The fourth proportional to 16,531.62, 22,813.82 and 8,978.03 is: 12,389.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,531.62 : 22,813.82 = 8,978.03 : x
  2. Step 2: Convert to fraction form
    16,531.62/22,813.82 = 8,978.03/x
  3. Step 3: Cross multiply
    16,531.62x = 22,813.82 × 8,978.03
  4. Step 4: Simplify right side
    16,531.62x = 204,823,160.37
  5. Step 5: Solve for x
    x = 204,823,160.37/16,531.62
  6. Step 6: Final answer
    x = 12,389.78

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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.