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Finding the Fourth Proportional to 13,728.62, 20,596.54 and 5,831.44

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Solution

The fourth proportional to 13,728.62, 20,596.54 and 5,831.44 is: 8,748.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.62 : 20,596.54 = 5,831.44 : x
  2. Step 2: Convert to fraction form
    13,728.62/20,596.54 = 5,831.44/x
  3. Step 3: Cross multiply
    13,728.62x = 20,596.54 × 5,831.44
  4. Step 4: Simplify right side
    13,728.62x = 120,107,487.22
  5. Step 5: Solve for x
    x = 120,107,487.22/13,728.62
  6. Step 6: Final answer
    x = 8,748.69

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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.