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Finding the Fourth Proportional to 17,686.72, 24,408.32 and 9,729.55

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Solution

The fourth proportional to 17,686.72, 24,408.32 and 9,729.55 is: 13,427.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,686.72 : 24,408.32 = 9,729.55 : x
  2. Step 2: Convert to fraction form
    17,686.72/24,408.32 = 9,729.55/x
  3. Step 3: Cross multiply
    17,686.72x = 24,408.32 × 9,729.55
  4. Step 4: Simplify right side
    17,686.72x = 237,481,969.86
  5. Step 5: Solve for x
    x = 237,481,969.86/17,686.72
  6. Step 6: Final answer
    x = 13,427.13

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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.