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Finding the Fourth Proportional to 22,178.53, 33,257.40 and 8,135.02

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Solution

The fourth proportional to 22,178.53, 33,257.40 and 8,135.02 is: 12,198.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,178.53 : 33,257.40 = 8,135.02 : x
  2. Step 2: Convert to fraction form
    22,178.53/33,257.40 = 8,135.02/x
  3. Step 3: Cross multiply
    22,178.53x = 33,257.40 × 8,135.02
  4. Step 4: Simplify right side
    22,178.53x = 270,549,614.15
  5. Step 5: Solve for x
    x = 270,549,614.15/22,178.53
  6. Step 6: Final answer
    x = 12,198.72

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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.