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Finding the Fourth Proportional to 21,923.12, 32,874 and 10,826.16

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Solution

The fourth proportional to 21,923.12, 32,874 and 10,826.16 is: 16,233.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,923.12 : 32,874 = 10,826.16 : x
  2. Step 2: Convert to fraction form
    21,923.12/32,874 = 10,826.16/x
  3. Step 3: Cross multiply
    21,923.12x = 32,874 × 10,826.16
  4. Step 4: Simplify right side
    21,923.12x = 355,899,183.84
  5. Step 5: Solve for x
    x = 355,899,183.84/21,923.12
  6. Step 6: Final answer
    x = 16,233.97

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1.5x scale

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.