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Finding the Fourth Proportional to 16,669, 23,003.49 and 9,217

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Solution

The fourth proportional to 16,669, 23,003.49 and 9,217 is: 12,719.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,669 : 23,003.49 = 9,217 : x
  2. Step 2: Convert to fraction form
    16,669/23,003.49 = 9,217/x
  3. Step 3: Cross multiply
    16,669x = 23,003.49 × 9,217
  4. Step 4: Simplify right side
    16,669x = 212,023,167.33
  5. Step 5: Solve for x
    x = 212,023,167.33/16,669
  6. Step 6: Final answer
    x = 12,719.61

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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.