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Finding the Fourth Proportional to 17,674.92, 24,390.84 and 9,716.40

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Solution

The fourth proportional to 17,674.92, 24,390.84 and 9,716.40 is: 13,408.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,674.92 : 24,390.84 = 9,716.40 : x
  2. Step 2: Convert to fraction form
    17,674.92/24,390.84 = 9,716.40/x
  3. Step 3: Cross multiply
    17,674.92x = 24,390.84 × 9,716.40
  4. Step 4: Simplify right side
    17,674.92x = 236,991,157.78
  5. Step 5: Solve for x
    x = 236,991,157.78/17,674.92
  6. Step 6: Final answer
    x = 13,408.33

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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.