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Finding the Fourth Proportional to 16,443.42, 22,690.17 and 9,729.33

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Solution

The fourth proportional to 16,443.42, 22,690.17 and 9,729.33 is: 13,425.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,443.42 : 22,690.17 = 9,729.33 : x
  2. Step 2: Convert to fraction form
    16,443.42/22,690.17 = 9,729.33/x
  3. Step 3: Cross multiply
    16,443.42x = 22,690.17 × 9,729.33
  4. Step 4: Simplify right side
    16,443.42x = 220,760,151.69
  5. Step 5: Solve for x
    x = 220,760,151.69/16,443.42
  6. Step 6: Final answer
    x = 13,425.44

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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.