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Finding the Fourth Proportional to 22,029.13, 33,032.84 and 7,987.05

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Solution

The fourth proportional to 22,029.13, 33,032.84 and 7,987.05 is: 11,976.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,029.13 : 33,032.84 = 7,987.05 : x
  2. Step 2: Convert to fraction form
    22,029.13/33,032.84 = 7,987.05/x
  3. Step 3: Cross multiply
    22,029.13x = 33,032.84 × 7,987.05
  4. Step 4: Simplify right side
    22,029.13x = 263,834,739.62
  5. Step 5: Solve for x
    x = 263,834,739.62/22,029.13
  6. Step 6: Final answer
    x = 11,976.63

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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.