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Finding the Fourth Proportional to 22,208.76, 33,326.25 and 8,178.64

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Solution

The fourth proportional to 22,208.76, 33,326.25 and 8,178.64 is: 12,272.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,208.76 : 33,326.25 = 8,178.64 : x
  2. Step 2: Convert to fraction form
    22,208.76/33,326.25 = 8,178.64/x
  3. Step 3: Cross multiply
    22,208.76x = 33,326.25 × 8,178.64
  4. Step 4: Simplify right side
    22,208.76x = 272,563,234.67
  5. Step 5: Solve for x
    x = 272,563,234.67/22,208.76
  6. Step 6: Final answer
    x = 12,272.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.