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Finding the Fourth Proportional to 16,021.92, 22,093.28 and 10,993.50

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Solution

The fourth proportional to 16,021.92, 22,093.28 and 10,993.50 is: 15,159.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,021.92 : 22,093.28 = 10,993.50 : x
  2. Step 2: Convert to fraction form
    16,021.92/22,093.28 = 10,993.50/x
  3. Step 3: Cross multiply
    16,021.92x = 22,093.28 × 10,993.50
  4. Step 4: Simplify right side
    16,021.92x = 242,882,473.68
  5. Step 5: Solve for x
    x = 242,882,473.68/16,021.92
  6. Step 6: Final answer
    x = 15,159.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.