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Finding the Fourth Proportional to 13,600.16, 20,395.92 and 4,364

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Solution

The fourth proportional to 13,600.16, 20,395.92 and 4,364 is: 6,544.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,600.16 : 20,395.92 = 4,364 : x
  2. Step 2: Convert to fraction form
    13,600.16/20,395.92 = 4,364/x
  3. Step 3: Cross multiply
    13,600.16x = 20,395.92 × 4,364
  4. Step 4: Simplify right side
    13,600.16x = 89,007,794.88
  5. Step 5: Solve for x
    x = 89,007,794.88/13,600.16
  6. Step 6: Final answer
    x = 6,544.61

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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.