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Finding the Fourth Proportional to 17,735.70, 24,470.85 and 11,440.50

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Solution

The fourth proportional to 17,735.70, 24,470.85 and 11,440.50 is: 15,785.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,735.70 : 24,470.85 = 11,440.50 : x
  2. Step 2: Convert to fraction form
    17,735.70/24,470.85 = 11,440.50/x
  3. Step 3: Cross multiply
    17,735.70x = 24,470.85 × 11,440.50
  4. Step 4: Simplify right side
    17,735.70x = 279,958,759.43
  5. Step 5: Solve for x
    x = 279,958,759.43/17,735.70
  6. Step 6: Final answer
    x = 15,785.04

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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.