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Finding the Fourth Proportional to 16,566.25, 22,861.43 and 9,114.73

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Solution

The fourth proportional to 16,566.25, 22,861.43 and 9,114.73 is: 12,578.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,566.25 : 22,861.43 = 9,114.73 : x
  2. Step 2: Convert to fraction form
    16,566.25/22,861.43 = 9,114.73/x
  3. Step 3: Cross multiply
    16,566.25x = 22,861.43 × 9,114.73
  4. Step 4: Simplify right side
    16,566.25x = 208,375,716.29
  5. Step 5: Solve for x
    x = 208,375,716.29/16,566.25
  6. Step 6: Final answer
    x = 12,578.33

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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.