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Finding the Fourth Proportional to 16,651.98, 22,980.81 and 9,578.25

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Solution

The fourth proportional to 16,651.98, 22,980.81 and 9,578.25 is: 13,218.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,651.98 : 22,980.81 = 9,578.25 : x
  2. Step 2: Convert to fraction form
    16,651.98/22,980.81 = 9,578.25/x
  3. Step 3: Cross multiply
    16,651.98x = 22,980.81 × 9,578.25
  4. Step 4: Simplify right side
    16,651.98x = 220,115,943.38
  5. Step 5: Solve for x
    x = 220,115,943.38/16,651.98
  6. Step 6: Final answer
    x = 13,218.60

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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.