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Finding the Fourth Proportional to 17,722.96, 26,583.48 and 5,410

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Solution

The fourth proportional to 17,722.96, 26,583.48 and 5,410 is: 8,114.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,722.96 : 26,583.48 = 5,410 : x
  2. Step 2: Convert to fraction form
    17,722.96/26,583.48 = 5,410/x
  3. Step 3: Cross multiply
    17,722.96x = 26,583.48 × 5,410
  4. Step 4: Simplify right side
    17,722.96x = 143,816,626.80
  5. Step 5: Solve for x
    x = 143,816,626.80/17,722.96
  6. Step 6: Final answer
    x = 8,114.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.