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Finding the Fourth Proportional to 16,299, 22,492.64 and 8,847

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Solution

The fourth proportional to 16,299, 22,492.64 and 8,847 is: 12,208.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,299 : 22,492.64 = 8,847 : x
  2. Step 2: Convert to fraction form
    16,299/22,492.64 = 8,847/x
  3. Step 3: Cross multiply
    16,299x = 22,492.64 × 8,847
  4. Step 4: Simplify right side
    16,299x = 198,992,386.08
  5. Step 5: Solve for x
    x = 198,992,386.08/16,299
  6. Step 6: Final answer
    x = 12,208.87

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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.