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Finding the Fourth Proportional to 17,622.75, 24,319.41 and 10,170.75

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Solution

The fourth proportional to 17,622.75, 24,319.41 and 10,170.75 is: 14,035.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,622.75 : 24,319.41 = 10,170.75 : x
  2. Step 2: Convert to fraction form
    17,622.75/24,319.41 = 10,170.75/x
  3. Step 3: Cross multiply
    17,622.75x = 24,319.41 × 10,170.75
  4. Step 4: Simplify right side
    17,622.75x = 247,346,639.26
  5. Step 5: Solve for x
    x = 247,346,639.26/17,622.75
  6. Step 6: Final answer
    x = 14,035.64

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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.