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Finding the Fourth Proportional to 13,733.33, 20,586.11 and 5,410.11

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Solution

The fourth proportional to 13,733.33, 20,586.11 and 5,410.11 is: 8,109.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,733.33 : 20,586.11 = 5,410.11 : x
  2. Step 2: Convert to fraction form
    13,733.33/20,586.11 = 5,410.11/x
  3. Step 3: Cross multiply
    13,733.33x = 20,586.11 × 5,410.11
  4. Step 4: Simplify right side
    13,733.33x = 111,373,092.52
  5. Step 5: Solve for x
    x = 111,373,092.52/13,733.33
  6. Step 6: Final answer
    x = 8,109.70

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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.