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Finding the Fourth Proportional to 20,466.36, 30,767.98 and 16,795.80

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Solution

The fourth proportional to 20,466.36, 30,767.98 and 16,795.80 is: 25,249.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,466.36 : 30,767.98 = 16,795.80 : x
  2. Step 2: Convert to fraction form
    20,466.36/30,767.98 = 16,795.80/x
  3. Step 3: Cross multiply
    20,466.36x = 30,767.98 × 16,795.80
  4. Step 4: Simplify right side
    20,466.36x = 516,772,838.48
  5. Step 5: Solve for x
    x = 516,772,838.48/20,466.36
  6. Step 6: Final answer
    x = 25,249.87

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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.