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Finding the Fourth Proportional to 16,578.41, 24,867.88 and 9,229.58

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Solution

The fourth proportional to 16,578.41, 24,867.88 and 9,229.58 is: 13,844.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.41 : 24,867.88 = 9,229.58 : x
  2. Step 2: Convert to fraction form
    16,578.41/24,867.88 = 9,229.58/x
  3. Step 3: Cross multiply
    16,578.41x = 24,867.88 × 9,229.58
  4. Step 4: Simplify right side
    16,578.41x = 229,520,033.73
  5. Step 5: Solve for x
    x = 229,520,033.73/16,578.41
  6. Step 6: Final answer
    x = 13,844.51

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1.5x scale

Why These Related Problems?

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