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Finding the Fourth Proportional to 22,026.81, 33,032.36 and 7,983.20

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Solution

The fourth proportional to 22,026.81, 33,032.36 and 7,983.20 is: 11,971.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,026.81 : 33,032.36 = 7,983.20 : x
  2. Step 2: Convert to fraction form
    22,026.81/33,032.36 = 7,983.20/x
  3. Step 3: Cross multiply
    22,026.81x = 33,032.36 × 7,983.20
  4. Step 4: Simplify right side
    22,026.81x = 263,703,761.73
  5. Step 5: Solve for x
    x = 263,703,761.73/22,026.81
  6. Step 6: Final answer
    x = 11,971.94

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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.