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Finding the Fourth Proportional to 22,451.12, 33,676.84 and 9,967.80

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Solution

The fourth proportional to 22,451.12, 33,676.84 and 9,967.80 is: 14,951.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,451.12 : 33,676.84 = 9,967.80 : x
  2. Step 2: Convert to fraction form
    22,451.12/33,676.84 = 9,967.80/x
  3. Step 3: Cross multiply
    22,451.12x = 33,676.84 × 9,967.80
  4. Step 4: Simplify right side
    22,451.12x = 335,684,005.75
  5. Step 5: Solve for x
    x = 335,684,005.75/22,451.12
  6. Step 6: Final answer
    x = 14,951.77

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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.