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Finding the Fourth Proportional to 16,651.82, 22,980.20 and 9,578.25

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Solution

The fourth proportional to 16,651.82, 22,980.20 and 9,578.25 is: 13,218.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,651.82 : 22,980.20 = 9,578.25 : x
  2. Step 2: Convert to fraction form
    16,651.82/22,980.20 = 9,578.25/x
  3. Step 3: Cross multiply
    16,651.82x = 22,980.20 × 9,578.25
  4. Step 4: Simplify right side
    16,651.82x = 220,110,052.76
  5. Step 5: Solve for x
    x = 220,110,052.76/16,651.82
  6. Step 6: Final answer
    x = 13,218.38

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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.