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Finding the Fourth Proportional to 22,508.96, 33,770.73 and 10,820.66

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Solution

The fourth proportional to 22,508.96, 33,770.73 and 10,820.66 is: 16,234.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,508.96 : 33,770.73 = 10,820.66 : x
  2. Step 2: Convert to fraction form
    22,508.96/33,770.73 = 10,820.66/x
  3. Step 3: Cross multiply
    22,508.96x = 33,770.73 × 10,820.66
  4. Step 4: Simplify right side
    22,508.96x = 365,421,418.43
  5. Step 5: Solve for x
    x = 365,421,418.43/22,508.96
  6. Step 6: Final answer
    x = 16,234.49

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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.