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Finding the Fourth Proportional to 22,523.88, 33,786.62 and 7,732.72

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Solution

The fourth proportional to 22,523.88, 33,786.62 and 7,732.72 is: 11,599.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.88 : 33,786.62 = 7,732.72 : x
  2. Step 2: Convert to fraction form
    22,523.88/33,786.62 = 7,732.72/x
  3. Step 3: Cross multiply
    22,523.88x = 33,786.62 × 7,732.72
  4. Step 4: Simplify right side
    22,523.88x = 261,262,472.21
  5. Step 5: Solve for x
    x = 261,262,472.21/22,523.88
  6. Step 6: Final answer
    x = 11,599.35

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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.