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Finding the Fourth Proportional to 16,598.38, 22,906.38 and 10,223.68

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Solution

The fourth proportional to 16,598.38, 22,906.38 and 10,223.68 is: 14,109.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,598.38 : 22,906.38 = 10,223.68 : x
  2. Step 2: Convert to fraction form
    16,598.38/22,906.38 = 10,223.68/x
  3. Step 3: Cross multiply
    16,598.38x = 22,906.38 × 10,223.68
  4. Step 4: Simplify right side
    16,598.38x = 234,187,499.08
  5. Step 5: Solve for x
    x = 234,187,499.08/16,598.38
  6. Step 6: Final answer
    x = 14,109.06

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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.