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Finding the Fourth Proportional to 21,922.28, 32,883.21 and 9,451.11

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Solution

The fourth proportional to 21,922.28, 32,883.21 and 9,451.11 is: 14,176.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,922.28 : 32,883.21 = 9,451.11 : x
  2. Step 2: Convert to fraction form
    21,922.28/32,883.21 = 9,451.11/x
  3. Step 3: Cross multiply
    21,922.28x = 32,883.21 × 9,451.11
  4. Step 4: Simplify right side
    21,922.28x = 310,782,834.86
  5. Step 5: Solve for x
    x = 310,782,834.86/21,922.28
  6. Step 6: Final answer
    x = 14,176.57

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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.