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Finding the Fourth Proportional to 13,916.13, 20,821.77 and 9,764.34

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Solution

The fourth proportional to 13,916.13, 20,821.77 and 9,764.34 is: 14,609.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,916.13 : 20,821.77 = 9,764.34 : x
  2. Step 2: Convert to fraction form
    13,916.13/20,821.77 = 9,764.34/x
  3. Step 3: Cross multiply
    13,916.13x = 20,821.77 × 9,764.34
  4. Step 4: Simplify right side
    13,916.13x = 203,310,841.68
  5. Step 5: Solve for x
    x = 203,310,841.68/13,916.13
  6. Step 6: Final answer
    x = 14,609.73

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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.