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Finding the Fourth Proportional to 16,578.96, 22,878.90 and 9,025.71

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Solution

The fourth proportional to 16,578.96, 22,878.90 and 9,025.71 is: 12,455.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.96 : 22,878.90 = 9,025.71 : x
  2. Step 2: Convert to fraction form
    16,578.96/22,878.90 = 9,025.71/x
  3. Step 3: Cross multiply
    16,578.96x = 22,878.90 × 9,025.71
  4. Step 4: Simplify right side
    16,578.96x = 206,498,316.52
  5. Step 5: Solve for x
    x = 206,498,316.52/16,578.96
  6. Step 6: Final answer
    x = 12,455.44

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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.