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Finding the Fourth Proportional to 13,996.25, 19,314.11 and 7,707.41

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Solution

The fourth proportional to 13,996.25, 19,314.11 and 7,707.41 is: 10,635.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,996.25 : 19,314.11 = 7,707.41 : x
  2. Step 2: Convert to fraction form
    13,996.25/19,314.11 = 7,707.41/x
  3. Step 3: Cross multiply
    13,996.25x = 19,314.11 × 7,707.41
  4. Step 4: Simplify right side
    13,996.25x = 148,861,764.56
  5. Step 5: Solve for x
    x = 148,861,764.56/13,996.25
  6. Step 6: Final answer
    x = 10,635.83

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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.