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Finding the Fourth Proportional to 16,489.45, 22,755.45 and 9,778.38

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Solution

The fourth proportional to 16,489.45, 22,755.45 and 9,778.38 is: 13,494.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,489.45 : 22,755.45 = 9,778.38 : x
  2. Step 2: Convert to fraction form
    16,489.45/22,755.45 = 9,778.38/x
  3. Step 3: Cross multiply
    16,489.45x = 22,755.45 × 9,778.38
  4. Step 4: Simplify right side
    16,489.45x = 222,511,437.17
  5. Step 5: Solve for x
    x = 222,511,437.17/16,489.45
  6. Step 6: Final answer
    x = 13,494.17

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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.