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Finding the Fourth Proportional to 16,900.38, 23,314.77 and 10,933.99

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Solution

The fourth proportional to 16,900.38, 23,314.77 and 10,933.99 is: 15,083.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,900.38 : 23,314.77 = 10,933.99 : x
  2. Step 2: Convert to fraction form
    16,900.38/23,314.77 = 10,933.99/x
  3. Step 3: Cross multiply
    16,900.38x = 23,314.77 × 10,933.99
  4. Step 4: Simplify right side
    16,900.38x = 254,923,403.75
  5. Step 5: Solve for x
    x = 254,923,403.75/16,900.38
  6. Step 6: Final answer
    x = 15,083.89

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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.