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Finding the Fourth Proportional to 21,614.24, 32,423.19 and 6,819.19

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Solution

The fourth proportional to 21,614.24, 32,423.19 and 6,819.19 is: 10,229.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,614.24 : 32,423.19 = 6,819.19 : x
  2. Step 2: Convert to fraction form
    21,614.24/32,423.19 = 6,819.19/x
  3. Step 3: Cross multiply
    21,614.24x = 32,423.19 × 6,819.19
  4. Step 4: Simplify right side
    21,614.24x = 221,099,786.39
  5. Step 5: Solve for x
    x = 221,099,786.39/21,614.24
  6. Step 6: Final answer
    x = 10,229.36

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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.