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Finding the Fourth Proportional to 13,874.93, 20,814.42 and 5,109.11

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Solution

The fourth proportional to 13,874.93, 20,814.42 and 5,109.11 is: 7,664.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.93 : 20,814.42 = 5,109.11 : x
  2. Step 2: Convert to fraction form
    13,874.93/20,814.42 = 5,109.11/x
  3. Step 3: Cross multiply
    13,874.93x = 20,814.42 × 5,109.11
  4. Step 4: Simplify right side
    13,874.93x = 106,343,161.37
  5. Step 5: Solve for x
    x = 106,343,161.37/13,874.93
  6. Step 6: Final answer
    x = 7,664.41

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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.