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Finding the Fourth Proportional to 12,155, 18,234.26 and 3,832.20

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Solution

The fourth proportional to 12,155, 18,234.26 and 3,832.20 is: 5,748.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,155 : 18,234.26 = 3,832.20 : x
  2. Step 2: Convert to fraction form
    12,155/18,234.26 = 3,832.20/x
  3. Step 3: Cross multiply
    12,155x = 18,234.26 × 3,832.20
  4. Step 4: Simplify right side
    12,155x = 69,877,331.17
  5. Step 5: Solve for x
    x = 69,877,331.17/12,155
  6. Step 6: Final answer
    x = 5,748.85

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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.