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Finding the Fourth Proportional to 12,896.30, 19,340.33 and 4,129.13

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Solution

The fourth proportional to 12,896.30, 19,340.33 and 4,129.13 is: 6,192.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.30 : 19,340.33 = 4,129.13 : x
  2. Step 2: Convert to fraction form
    12,896.30/19,340.33 = 4,129.13/x
  3. Step 3: Cross multiply
    12,896.30x = 19,340.33 × 4,129.13
  4. Step 4: Simplify right side
    12,896.30x = 79,858,619.47
  5. Step 5: Solve for x
    x = 79,858,619.47/12,896.30
  6. Step 6: Final answer
    x = 6,192.37

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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.