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Finding the Fourth Proportional to 16,496.25, 22,755.51 and 9,775.29

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Solution

The fourth proportional to 16,496.25, 22,755.51 and 9,775.29 is: 13,484.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,496.25 : 22,755.51 = 9,775.29 : x
  2. Step 2: Convert to fraction form
    16,496.25/22,755.51 = 9,775.29/x
  3. Step 3: Cross multiply
    16,496.25x = 22,755.51 × 9,775.29
  4. Step 4: Simplify right side
    16,496.25x = 222,441,709.35
  5. Step 5: Solve for x
    x = 222,441,709.35/16,496.25
  6. Step 6: Final answer
    x = 13,484.38

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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.