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Finding the Fourth Proportional to 12,133.78, 18,199.22 and 4,234.92

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Solution

The fourth proportional to 12,133.78, 18,199.22 and 4,234.92 is: 6,351.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.78 : 18,199.22 = 4,234.92 : x
  2. Step 2: Convert to fraction form
    12,133.78/18,199.22 = 4,234.92/x
  3. Step 3: Cross multiply
    12,133.78x = 18,199.22 × 4,234.92
  4. Step 4: Simplify right side
    12,133.78x = 77,072,240.76
  5. Step 5: Solve for x
    x = 77,072,240.76/12,133.78
  6. Step 6: Final answer
    x = 6,351.87

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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.