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Finding the Fourth Proportional to 13,727.98, 18,945.19 and 8,349.68

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Solution

The fourth proportional to 13,727.98, 18,945.19 and 8,349.68 is: 11,522.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,727.98 : 18,945.19 = 8,349.68 : x
  2. Step 2: Convert to fraction form
    13,727.98/18,945.19 = 8,349.68/x
  3. Step 3: Cross multiply
    13,727.98x = 18,945.19 × 8,349.68
  4. Step 4: Simplify right side
    13,727.98x = 158,186,331.84
  5. Step 5: Solve for x
    x = 158,186,331.84/13,727.98
  6. Step 6: Final answer
    x = 11,522.91

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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.