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Finding the Fourth Proportional to 13,728.57, 20,585.04 and 5,404.07

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Solution

The fourth proportional to 13,728.57, 20,585.04 and 5,404.07 is: 8,103.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.57 : 20,585.04 = 5,404.07 : x
  2. Step 2: Convert to fraction form
    13,728.57/20,585.04 = 5,404.07/x
  3. Step 3: Cross multiply
    13,728.57x = 20,585.04 × 5,404.07
  4. Step 4: Simplify right side
    13,728.57x = 111,242,997.11
  5. Step 5: Solve for x
    x = 111,242,997.11/13,728.57
  6. Step 6: Final answer
    x = 8,103.03

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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.