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Finding the Fourth Proportional to 22,237.80, 33,366.42 and 11,847

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Solution

The fourth proportional to 22,237.80, 33,366.42 and 11,847 is: 17,775.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,237.80 : 33,366.42 = 11,847 : x
  2. Step 2: Convert to fraction form
    22,237.80/33,366.42 = 11,847/x
  3. Step 3: Cross multiply
    22,237.80x = 33,366.42 × 11,847
  4. Step 4: Simplify right side
    22,237.80x = 395,291,977.74
  5. Step 5: Solve for x
    x = 395,291,977.74/22,237.80
  6. Step 6: Final answer
    x = 17,775.68

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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.