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Finding the Fourth Proportional to 22,735.08, 34,029.90 and 12,178.80

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Solution

The fourth proportional to 22,735.08, 34,029.90 and 12,178.80 is: 18,229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,735.08 : 34,029.90 = 12,178.80 : x
  2. Step 2: Convert to fraction form
    22,735.08/34,029.90 = 12,178.80/x
  3. Step 3: Cross multiply
    22,735.08x = 34,029.90 × 12,178.80
  4. Step 4: Simplify right side
    22,735.08x = 414,443,346.12
  5. Step 5: Solve for x
    x = 414,443,346.12/22,735.08
  6. Step 6: Final answer
    x = 18,229.25

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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.