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Finding the Fourth Proportional to 16,809, 25,213.02 and 5,120.52

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Solution

The fourth proportional to 16,809, 25,213.02 and 5,120.52 is: 7,680.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,809 : 25,213.02 = 5,120.52 : x
  2. Step 2: Convert to fraction form
    16,809/25,213.02 = 5,120.52/x
  3. Step 3: Cross multiply
    16,809x = 25,213.02 × 5,120.52
  4. Step 4: Simplify right side
    16,809x = 129,103,773.17
  5. Step 5: Solve for x
    x = 129,103,773.17/16,809
  6. Step 6: Final answer
    x = 7,680.63

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Why These Related Problems?

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