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Finding the Fourth Proportional to 17,674.47, 24,390.11 and 9,716.22

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Solution

The fourth proportional to 17,674.47, 24,390.11 and 9,716.22 is: 13,408.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,674.47 : 24,390.11 = 9,716.22 : x
  2. Step 2: Convert to fraction form
    17,674.47/24,390.11 = 9,716.22/x
  3. Step 3: Cross multiply
    17,674.47x = 24,390.11 × 9,716.22
  4. Step 4: Simplify right side
    17,674.47x = 236,979,698.87
  5. Step 5: Solve for x
    x = 236,979,698.87/17,674.47
  6. Step 6: Final answer
    x = 13,408.02

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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.