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Finding the Fourth Proportional to 16,578.45, 24,867.95 and 9,229.62

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Solution

The fourth proportional to 16,578.45, 24,867.95 and 9,229.62 is: 13,844.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.45 : 24,867.95 = 9,229.62 : x
  2. Step 2: Convert to fraction form
    16,578.45/24,867.95 = 9,229.62/x
  3. Step 3: Cross multiply
    16,578.45x = 24,867.95 × 9,229.62
  4. Step 4: Simplify right side
    16,578.45x = 229,521,682.53
  5. Step 5: Solve for x
    x = 229,521,682.53/16,578.45
  6. Step 6: Final answer
    x = 13,844.58

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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.