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Finding the Fourth Proportional to 13,802.61, 20,695 and 5,910.29

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Solution

The fourth proportional to 13,802.61, 20,695 and 5,910.29 is: 8,861.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.61 : 20,695 = 5,910.29 : x
  2. Step 2: Convert to fraction form
    13,802.61/20,695 = 5,910.29/x
  3. Step 3: Cross multiply
    13,802.61x = 20,695 × 5,910.29
  4. Step 4: Simplify right side
    13,802.61x = 122,313,451.55
  5. Step 5: Solve for x
    x = 122,313,451.55/13,802.61
  6. Step 6: Final answer
    x = 8,861.62

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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.