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Finding the Fourth Proportional to 17,847.87, 24,629.65 and 10,294.22

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Solution

The fourth proportional to 17,847.87, 24,629.65 and 10,294.22 is: 14,205.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,847.87 : 24,629.65 = 10,294.22 : x
  2. Step 2: Convert to fraction form
    17,847.87/24,629.65 = 10,294.22/x
  3. Step 3: Cross multiply
    17,847.87x = 24,629.65 × 10,294.22
  4. Step 4: Simplify right side
    17,847.87x = 253,543,035.62
  5. Step 5: Solve for x
    x = 253,543,035.62/17,847.87
  6. Step 6: Final answer
    x = 14,205.79

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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.