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Finding the Fourth Proportional to 16,578, 24,867 and 4,891.05

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Solution

The fourth proportional to 16,578, 24,867 and 4,891.05 is: 7,336.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578 : 24,867 = 4,891.05 : x
  2. Step 2: Convert to fraction form
    16,578/24,867 = 4,891.05/x
  3. Step 3: Cross multiply
    16,578x = 24,867 × 4,891.05
  4. Step 4: Simplify right side
    16,578x = 121,625,740.35
  5. Step 5: Solve for x
    x = 121,625,740.35/16,578
  6. Step 6: Final answer
    x = 7,336.58

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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.