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Finding the Fourth Proportional to 22,332.20, 33,467.02 and 16,782

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Solution

The fourth proportional to 22,332.20, 33,467.02 and 16,782 is: 25,149.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,332.20 : 33,467.02 = 16,782 : x
  2. Step 2: Convert to fraction form
    22,332.20/33,467.02 = 16,782/x
  3. Step 3: Cross multiply
    22,332.20x = 33,467.02 × 16,782
  4. Step 4: Simplify right side
    22,332.20x = 561,643,529.64
  5. Step 5: Solve for x
    x = 561,643,529.64/22,332.20
  6. Step 6: Final answer
    x = 25,149.49

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1.5x scale

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.