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Finding the Fourth Proportional to 17,716.75, 24,447.08 and 10,161

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Solution

The fourth proportional to 17,716.75, 24,447.08 and 10,161 is: 14,021.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,716.75 : 24,447.08 = 10,161 : x
  2. Step 2: Convert to fraction form
    17,716.75/24,447.08 = 10,161/x
  3. Step 3: Cross multiply
    17,716.75x = 24,447.08 × 10,161
  4. Step 4: Simplify right side
    17,716.75x = 248,406,805.28
  5. Step 5: Solve for x
    x = 248,406,805.28/17,716.75
  6. Step 6: Final answer
    x = 14,021.02

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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.