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Finding the Fourth Proportional to 17,687.42, 24,408.51 and 9,729.48

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Solution

The fourth proportional to 17,687.42, 24,408.51 and 9,729.48 is: 13,426.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,687.42 : 24,408.51 = 9,729.48 : x
  2. Step 2: Convert to fraction form
    17,687.42/24,408.51 = 9,729.48/x
  3. Step 3: Cross multiply
    17,687.42x = 24,408.51 × 9,729.48
  4. Step 4: Simplify right side
    17,687.42x = 237,482,012.16
  5. Step 5: Solve for x
    x = 237,482,012.16/17,687.42
  6. Step 6: Final answer
    x = 13,426.60

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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.