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Finding the Fourth Proportional to 16,493.22, 22,761 and 10,206

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Solution

The fourth proportional to 16,493.22, 22,761 and 10,206 is: 14,084.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,493.22 : 22,761 = 10,206 : x
  2. Step 2: Convert to fraction form
    16,493.22/22,761 = 10,206/x
  3. Step 3: Cross multiply
    16,493.22x = 22,761 × 10,206
  4. Step 4: Simplify right side
    16,493.22x = 232,298,766
  5. Step 5: Solve for x
    x = 232,298,766/16,493.22
  6. Step 6: Final answer
    x = 14,084.50

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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.