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Finding the Fourth Proportional to 22,106.92, 33,176.46 and 16,575.20

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Solution

The fourth proportional to 22,106.92, 33,176.46 and 16,575.20 is: 24,874.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,106.92 : 33,176.46 = 16,575.20 : x
  2. Step 2: Convert to fraction form
    22,106.92/33,176.46 = 16,575.20/x
  3. Step 3: Cross multiply
    22,106.92x = 33,176.46 × 16,575.20
  4. Step 4: Simplify right side
    22,106.92x = 549,906,293.91
  5. Step 5: Solve for x
    x = 549,906,293.91/22,106.92
  6. Step 6: Final answer
    x = 24,874.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.