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Finding the Fourth Proportional to 12,893.13, 19,339.69 and 3,659.13

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Solution

The fourth proportional to 12,893.13, 19,339.69 and 3,659.13 is: 5,488.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,893.13 : 19,339.69 = 3,659.13 : x
  2. Step 2: Convert to fraction form
    12,893.13/19,339.69 = 3,659.13/x
  3. Step 3: Cross multiply
    12,893.13x = 19,339.69 × 3,659.13
  4. Step 4: Simplify right side
    12,893.13x = 70,766,439.87
  5. Step 5: Solve for x
    x = 70,766,439.87/12,893.13
  6. Step 6: Final answer
    x = 5,488.69

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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.