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Finding the Fourth Proportional to 16,962.91, 23,408.83 and 9,887.96

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Solution

The fourth proportional to 16,962.91, 23,408.83 and 9,887.96 is: 13,645.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,962.91 : 23,408.83 = 9,887.96 : x
  2. Step 2: Convert to fraction form
    16,962.91/23,408.83 = 9,887.96/x
  3. Step 3: Cross multiply
    16,962.91x = 23,408.83 × 9,887.96
  4. Step 4: Simplify right side
    16,962.91x = 231,465,574.69
  5. Step 5: Solve for x
    x = 231,465,574.69/16,962.91
  6. Step 6: Final answer
    x = 13,645.39

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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.