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Finding the Fourth Proportional to 17,686.98, 24,408.09 and 9,729.81

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Solution

The fourth proportional to 17,686.98, 24,408.09 and 9,729.81 is: 13,427.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,686.98 : 24,408.09 = 9,729.81 : x
  2. Step 2: Convert to fraction form
    17,686.98/24,408.09 = 9,729.81/x
  3. Step 3: Cross multiply
    17,686.98x = 24,408.09 × 9,729.81
  4. Step 4: Simplify right side
    17,686.98x = 237,486,078.16
  5. Step 5: Solve for x
    x = 237,486,078.16/17,686.98
  6. Step 6: Final answer
    x = 13,427.17

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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.