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Finding the Fourth Proportional to 16,095.92, 22,213.24 and 9,023.81

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Solution

The fourth proportional to 16,095.92, 22,213.24 and 9,023.81 is: 12,453.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,095.92 : 22,213.24 = 9,023.81 : x
  2. Step 2: Convert to fraction form
    16,095.92/22,213.24 = 9,023.81/x
  3. Step 3: Cross multiply
    16,095.92x = 22,213.24 × 9,023.81
  4. Step 4: Simplify right side
    16,095.92x = 200,447,923.62
  5. Step 5: Solve for x
    x = 200,447,923.62/16,095.92
  6. Step 6: Final answer
    x = 12,453.34

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1.5x scale

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.