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Finding the Fourth Proportional to 13,706.70, 20,564.21 and 5,805.09

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Solution

The fourth proportional to 13,706.70, 20,564.21 and 5,805.09 is: 8,709.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.70 : 20,564.21 = 5,805.09 : x
  2. Step 2: Convert to fraction form
    13,706.70/20,564.21 = 5,805.09/x
  3. Step 3: Cross multiply
    13,706.70x = 20,564.21 × 5,805.09
  4. Step 4: Simplify right side
    13,706.70x = 119,377,104.34
  5. Step 5: Solve for x
    x = 119,377,104.34/13,706.70
  6. Step 6: Final answer
    x = 8,709.40

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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.