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Finding the Fourth Proportional to 12,893.62, 19,340.91 and 3,659.62

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Solution

The fourth proportional to 12,893.62, 19,340.91 and 3,659.62 is: 5,489.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,893.62 : 19,340.91 = 3,659.62 : x
  2. Step 2: Convert to fraction form
    12,893.62/19,340.91 = 3,659.62/x
  3. Step 3: Cross multiply
    12,893.62x = 19,340.91 × 3,659.62
  4. Step 4: Simplify right side
    12,893.62x = 70,780,381.05
  5. Step 5: Solve for x
    x = 70,780,381.05/12,893.62
  6. Step 6: Final answer
    x = 5,489.57

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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.