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Finding the Fourth Proportional to 43,813.14, 65,713.53 and 14,231.33

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Solution

The fourth proportional to 43,813.14, 65,713.53 and 14,231.33 is: 21,344.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,813.14 : 65,713.53 = 14,231.33 : x
  2. Step 2: Convert to fraction form
    43,813.14/65,713.53 = 14,231.33/x
  3. Step 3: Cross multiply
    43,813.14x = 65,713.53 × 14,231.33
  4. Step 4: Simplify right side
    43,813.14x = 935,190,713.24
  5. Step 5: Solve for x
    x = 935,190,713.24/43,813.14
  6. Step 6: Final answer
    x = 21,344.99

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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.