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Finding the Fourth Proportional to 16,410.20, 22,645.56 and 9,338.90

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Solution

The fourth proportional to 16,410.20, 22,645.56 and 9,338.90 is: 12,887.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,410.20 : 22,645.56 = 9,338.90 : x
  2. Step 2: Convert to fraction form
    16,410.20/22,645.56 = 9,338.90/x
  3. Step 3: Cross multiply
    16,410.20x = 22,645.56 × 9,338.90
  4. Step 4: Simplify right side
    16,410.20x = 211,484,620.28
  5. Step 5: Solve for x
    x = 211,484,620.28/16,410.20
  6. Step 6: Final answer
    x = 12,887.39

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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.