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Finding the Fourth Proportional to 13,687.41, 18,889.83 and 7,720.24

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Solution

The fourth proportional to 13,687.41, 18,889.83 and 7,720.24 is: 10,654.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,687.41 : 18,889.83 = 7,720.24 : x
  2. Step 2: Convert to fraction form
    13,687.41/18,889.83 = 7,720.24/x
  3. Step 3: Cross multiply
    13,687.41x = 18,889.83 × 7,720.24
  4. Step 4: Simplify right side
    13,687.41x = 145,833,977.94
  5. Step 5: Solve for x
    x = 145,833,977.94/13,687.41
  6. Step 6: Final answer
    x = 10,654.61

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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.