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Finding the Fourth Proportional to 13,760.57, 20,635.61 and 5,858.09

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Solution

The fourth proportional to 13,760.57, 20,635.61 and 5,858.09 is: 8,784.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760.57 : 20,635.61 = 5,858.09 : x
  2. Step 2: Convert to fraction form
    13,760.57/20,635.61 = 5,858.09/x
  3. Step 3: Cross multiply
    13,760.57x = 20,635.61 × 5,858.09
  4. Step 4: Simplify right side
    13,760.57x = 120,885,260.58
  5. Step 5: Solve for x
    x = 120,885,260.58/13,760.57
  6. Step 6: Final answer
    x = 8,784.90

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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.