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Finding the Fourth Proportional to 16,445.72, 24,674.31 and 5,202.80

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Solution

The fourth proportional to 16,445.72, 24,674.31 and 5,202.80 is: 7,806.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,445.72 : 24,674.31 = 5,202.80 : x
  2. Step 2: Convert to fraction form
    16,445.72/24,674.31 = 5,202.80/x
  3. Step 3: Cross multiply
    16,445.72x = 24,674.31 × 5,202.80
  4. Step 4: Simplify right side
    16,445.72x = 128,375,469.23
  5. Step 5: Solve for x
    x = 128,375,469.23/16,445.72
  6. Step 6: Final answer
    x = 7,806.01

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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.