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Finding the Fourth Proportional to 22,381.86, 33,542.54 and 8,523.30

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Solution

The fourth proportional to 22,381.86, 33,542.54 and 8,523.30 is: 12,773.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,381.86 : 33,542.54 = 8,523.30 : x
  2. Step 2: Convert to fraction form
    22,381.86/33,542.54 = 8,523.30/x
  3. Step 3: Cross multiply
    22,381.86x = 33,542.54 × 8,523.30
  4. Step 4: Simplify right side
    22,381.86x = 285,893,131.18
  5. Step 5: Solve for x
    x = 285,893,131.18/22,381.86
  6. Step 6: Final answer
    x = 12,773.43

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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.