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Finding the Fourth Proportional to 13,770.93, 18,997.68 and 8,463.81

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Solution

The fourth proportional to 13,770.93, 18,997.68 and 8,463.81 is: 11,676.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.93 : 18,997.68 = 8,463.81 : x
  2. Step 2: Convert to fraction form
    13,770.93/18,997.68 = 8,463.81/x
  3. Step 3: Cross multiply
    13,770.93x = 18,997.68 × 8,463.81
  4. Step 4: Simplify right side
    13,770.93x = 160,792,753.96
  5. Step 5: Solve for x
    x = 160,792,753.96/13,770.93
  6. Step 6: Final answer
    x = 11,676.25

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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.