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Finding the Fourth Proportional to 22,234.64, 33,357.72 and 8,383.76

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Solution

The fourth proportional to 22,234.64, 33,357.72 and 8,383.76 is: 12,577.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,234.64 : 33,357.72 = 8,383.76 : x
  2. Step 2: Convert to fraction form
    22,234.64/33,357.72 = 8,383.76/x
  3. Step 3: Cross multiply
    22,234.64x = 33,357.72 × 8,383.76
  4. Step 4: Simplify right side
    22,234.64x = 279,663,118.63
  5. Step 5: Solve for x
    x = 279,663,118.63/22,234.64
  6. Step 6: Final answer
    x = 12,577.81

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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.