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Finding the Fourth Proportional to 13,705.39, 20,530.68 and 6,299.70

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Solution

The fourth proportional to 13,705.39, 20,530.68 and 6,299.70 is: 9,436.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.39 : 20,530.68 = 6,299.70 : x
  2. Step 2: Convert to fraction form
    13,705.39/20,530.68 = 6,299.70/x
  3. Step 3: Cross multiply
    13,705.39x = 20,530.68 × 6,299.70
  4. Step 4: Simplify right side
    13,705.39x = 129,337,124.80
  5. Step 5: Solve for x
    x = 129,337,124.80/13,705.39
  6. Step 6: Final answer
    x = 9,436.95

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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.