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Finding the Fourth Proportional to 22,074.96, 30,443.27 and 16,423.86

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Solution

The fourth proportional to 22,074.96, 30,443.27 and 16,423.86 is: 22,649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,074.96 : 30,443.27 = 16,423.86 : x
  2. Step 2: Convert to fraction form
    22,074.96/30,443.27 = 16,423.86/x
  3. Step 3: Cross multiply
    22,074.96x = 30,443.27 × 16,423.86
  4. Step 4: Simplify right side
    22,074.96x = 499,995,922.30
  5. Step 5: Solve for x
    x = 499,995,922.30/22,074.96
  6. Step 6: Final answer
    x = 22,649.91

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