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Finding the Fourth Proportional to 16,194.82, 22,348.94 and 10,229.16

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Solution

The fourth proportional to 16,194.82, 22,348.94 and 10,229.16 is: 14,116.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,194.82 : 22,348.94 = 10,229.16 : x
  2. Step 2: Convert to fraction form
    16,194.82/22,348.94 = 10,229.16/x
  3. Step 3: Cross multiply
    16,194.82x = 22,348.94 × 10,229.16
  4. Step 4: Simplify right side
    16,194.82x = 228,610,883.09
  5. Step 5: Solve for x
    x = 228,610,883.09/16,194.82
  6. Step 6: Final answer
    x = 14,116.30

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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.