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Finding the Fourth Proportional to 13,658.24, 20,471.16 and 5,850.56

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Solution

The fourth proportional to 13,658.24, 20,471.16 and 5,850.56 is: 8,768.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.24 : 20,471.16 = 5,850.56 : x
  2. Step 2: Convert to fraction form
    13,658.24/20,471.16 = 5,850.56/x
  3. Step 3: Cross multiply
    13,658.24x = 20,471.16 × 5,850.56
  4. Step 4: Simplify right side
    13,658.24x = 119,767,749.85
  5. Step 5: Solve for x
    x = 119,767,749.85/13,658.24
  6. Step 6: Final answer
    x = 8,768.90

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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.