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Finding the Fourth Proportional to 16,578.90, 22,878.42 and 9,025.38

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Solution

The fourth proportional to 16,578.90, 22,878.42 and 9,025.38 is: 12,454.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.90 : 22,878.42 = 9,025.38 : x
  2. Step 2: Convert to fraction form
    16,578.90/22,878.42 = 9,025.38/x
  3. Step 3: Cross multiply
    16,578.90x = 22,878.42 × 9,025.38
  4. Step 4: Simplify right side
    16,578.90x = 206,486,434.30
  5. Step 5: Solve for x
    x = 206,486,434.30/16,578.90
  6. Step 6: Final answer
    x = 12,454.77

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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.