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Finding the Fourth Proportional to 13,481.84, 20,224.98 and 6,086.13

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Solution

The fourth proportional to 13,481.84, 20,224.98 and 6,086.13 is: 9,130.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,481.84 : 20,224.98 = 6,086.13 : x
  2. Step 2: Convert to fraction form
    13,481.84/20,224.98 = 6,086.13/x
  3. Step 3: Cross multiply
    13,481.84x = 20,224.98 × 6,086.13
  4. Step 4: Simplify right side
    13,481.84x = 123,091,857.53
  5. Step 5: Solve for x
    x = 123,091,857.53/13,481.84
  6. Step 6: Final answer
    x = 9,130.20

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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.