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Finding the Fourth Proportional to 13,770.81, 18,968.28 and 10,781.30

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Solution

The fourth proportional to 13,770.81, 18,968.28 and 10,781.30 is: 14,850.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.81 : 18,968.28 = 10,781.30 : x
  2. Step 2: Convert to fraction form
    13,770.81/18,968.28 = 10,781.30/x
  3. Step 3: Cross multiply
    13,770.81x = 18,968.28 × 10,781.30
  4. Step 4: Simplify right side
    13,770.81x = 204,502,724.15
  5. Step 5: Solve for x
    x = 204,502,724.15/13,770.81
  6. Step 6: Final answer
    x = 14,850.45

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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.