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Finding the Fourth Proportional to 17,474.50, 24,115.77 and 10,022.98

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Solution

The fourth proportional to 17,474.50, 24,115.77 and 10,022.98 is: 13,832.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,474.50 : 24,115.77 = 10,022.98 : x
  2. Step 2: Convert to fraction form
    17,474.50/24,115.77 = 10,022.98/x
  3. Step 3: Cross multiply
    17,474.50x = 24,115.77 × 10,022.98
  4. Step 4: Simplify right side
    17,474.50x = 241,711,880.39
  5. Step 5: Solve for x
    x = 241,711,880.39/17,474.50
  6. Step 6: Final answer
    x = 13,832.26

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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.