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Finding the Fourth Proportional to 13,696.43, 18,901.07 and 7,408.81

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Solution

The fourth proportional to 13,696.43, 18,901.07 and 7,408.81 is: 10,224.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.43 : 18,901.07 = 7,408.81 : x
  2. Step 2: Convert to fraction form
    13,696.43/18,901.07 = 7,408.81/x
  3. Step 3: Cross multiply
    13,696.43x = 18,901.07 × 7,408.81
  4. Step 4: Simplify right side
    13,696.43x = 140,034,379.91
  5. Step 5: Solve for x
    x = 140,034,379.91/13,696.43
  6. Step 6: Final answer
    x = 10,224.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.