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Finding the Fourth Proportional to 12,873.26, 19,296.09 and 8,429.24

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Solution

The fourth proportional to 12,873.26, 19,296.09 and 8,429.24 is: 12,634.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,873.26 : 19,296.09 = 8,429.24 : x
  2. Step 2: Convert to fraction form
    12,873.26/19,296.09 = 8,429.24/x
  3. Step 3: Cross multiply
    12,873.26x = 19,296.09 × 8,429.24
  4. Step 4: Simplify right side
    12,873.26x = 162,651,373.67
  5. Step 5: Solve for x
    x = 162,651,373.67/12,873.26
  6. Step 6: Final answer
    x = 12,634.82

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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.