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Finding the Fourth Proportional to 17,713.87, 24,447.09 and 10,160.62

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Solution

The fourth proportional to 17,713.87, 24,447.09 and 10,160.62 is: 14,022.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,713.87 : 24,447.09 = 10,160.62 : x
  2. Step 2: Convert to fraction form
    17,713.87/24,447.09 = 10,160.62/x
  3. Step 3: Cross multiply
    17,713.87x = 24,447.09 × 10,160.62
  4. Step 4: Simplify right side
    17,713.87x = 248,397,591.60
  5. Step 5: Solve for x
    x = 248,397,591.60/17,713.87
  6. Step 6: Final answer
    x = 14,022.77

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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.