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Finding the Fourth Proportional to 13,841.69, 20,759.49 and 6,439.10

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Solution

The fourth proportional to 13,841.69, 20,759.49 and 6,439.10 is: 9,657.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.69 : 20,759.49 = 6,439.10 : x
  2. Step 2: Convert to fraction form
    13,841.69/20,759.49 = 6,439.10/x
  3. Step 3: Cross multiply
    13,841.69x = 20,759.49 × 6,439.10
  4. Step 4: Simplify right side
    13,841.69x = 133,672,328.26
  5. Step 5: Solve for x
    x = 133,672,328.26/13,841.69
  6. Step 6: Final answer
    x = 9,657.23

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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.