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Finding the Fourth Proportional to 16,282.99, 22,467.66 and 9,997.39

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Solution

The fourth proportional to 16,282.99, 22,467.66 and 9,997.39 is: 13,794.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,282.99 : 22,467.66 = 9,997.39 : x
  2. Step 2: Convert to fraction form
    16,282.99/22,467.66 = 9,997.39/x
  3. Step 3: Cross multiply
    16,282.99x = 22,467.66 × 9,997.39
  4. Step 4: Simplify right side
    16,282.99x = 224,617,959.41
  5. Step 5: Solve for x
    x = 224,617,959.41/16,282.99
  6. Step 6: Final answer
    x = 13,794.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.