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Finding the Fourth Proportional to 13,728, 20,591.64 and 6,332.52

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Solution

The fourth proportional to 13,728, 20,591.64 and 6,332.52 is: 9,498.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728 : 20,591.64 = 6,332.52 : x
  2. Step 2: Convert to fraction form
    13,728/20,591.64 = 6,332.52/x
  3. Step 3: Cross multiply
    13,728x = 20,591.64 × 6,332.52
  4. Step 4: Simplify right side
    13,728x = 130,396,972.13
  5. Step 5: Solve for x
    x = 130,396,972.13/13,728
  6. Step 6: Final answer
    x = 9,498.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.