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Finding the Fourth Proportional to 17,770.25, 24,522.49 and 11,713.07

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Solution

The fourth proportional to 17,770.25, 24,522.49 and 11,713.07 is: 16,163.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,770.25 : 24,522.49 = 11,713.07 : x
  2. Step 2: Convert to fraction form
    17,770.25/24,522.49 = 11,713.07/x
  3. Step 3: Cross multiply
    17,770.25x = 24,522.49 × 11,713.07
  4. Step 4: Simplify right side
    17,770.25x = 287,233,717.89
  5. Step 5: Solve for x
    x = 287,233,717.89/17,770.25
  6. Step 6: Final answer
    x = 16,163.74

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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.