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Finding the Fourth Proportional to 12,832.26, 19,243.74 and 5,437.20

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Solution

The fourth proportional to 12,832.26, 19,243.74 and 5,437.20 is: 8,153.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.26 : 19,243.74 = 5,437.20 : x
  2. Step 2: Convert to fraction form
    12,832.26/19,243.74 = 5,437.20/x
  3. Step 3: Cross multiply
    12,832.26x = 19,243.74 × 5,437.20
  4. Step 4: Simplify right side
    12,832.26x = 104,632,063.13
  5. Step 5: Solve for x
    x = 104,632,063.13/12,832.26
  6. Step 6: Final answer
    x = 8,153.83

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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.