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Finding the Fourth Proportional to 21,469.36, 32,200.32 and 5,674.57

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Solution

The fourth proportional to 21,469.36, 32,200.32 and 5,674.57 is: 8,510.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,469.36 : 32,200.32 = 5,674.57 : x
  2. Step 2: Convert to fraction form
    21,469.36/32,200.32 = 5,674.57/x
  3. Step 3: Cross multiply
    21,469.36x = 32,200.32 × 5,674.57
  4. Step 4: Simplify right side
    21,469.36x = 182,722,969.86
  5. Step 5: Solve for x
    x = 182,722,969.86/21,469.36
  6. Step 6: Final answer
    x = 8,510.87

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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.