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Finding the Fourth Proportional to 16,768.38, 23,138.87 and 9,214.63

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Solution

The fourth proportional to 16,768.38, 23,138.87 and 9,214.63 is: 12,715.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,768.38 : 23,138.87 = 9,214.63 : x
  2. Step 2: Convert to fraction form
    16,768.38/23,138.87 = 9,214.63/x
  3. Step 3: Cross multiply
    16,768.38x = 23,138.87 × 9,214.63
  4. Step 4: Simplify right side
    16,768.38x = 213,216,021.75
  5. Step 5: Solve for x
    x = 213,216,021.75/16,768.38
  6. Step 6: Final answer
    x = 12,715.36

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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.