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Finding the Fourth Proportional to 16,575.68, 22,874.88 and 9,022.44

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Solution

The fourth proportional to 16,575.68, 22,874.88 and 9,022.44 is: 12,451.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,575.68 : 22,874.88 = 9,022.44 : x
  2. Step 2: Convert to fraction form
    16,575.68/22,874.88 = 9,022.44/x
  3. Step 3: Cross multiply
    16,575.68x = 22,874.88 × 9,022.44
  4. Step 4: Simplify right side
    16,575.68x = 206,387,232.31
  5. Step 5: Solve for x
    x = 206,387,232.31/16,575.68
  6. Step 6: Final answer
    x = 12,451.21

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1.5x scale

Why These Related Problems?

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