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Finding the Fourth Proportional to 16,729.42, 23,086.74 and 9,654.43

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Solution

The fourth proportional to 16,729.42, 23,086.74 and 9,654.43 is: 13,323.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,729.42 : 23,086.74 = 9,654.43 : x
  2. Step 2: Convert to fraction form
    16,729.42/23,086.74 = 9,654.43/x
  3. Step 3: Cross multiply
    16,729.42x = 23,086.74 × 9,654.43
  4. Step 4: Simplify right side
    16,729.42x = 222,889,315.26
  5. Step 5: Solve for x
    x = 222,889,315.26/16,729.42
  6. Step 6: Final answer
    x = 13,323.19

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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.