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Finding the Fourth Proportional to 16,505, 22,777.44 and 9,053

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Solution

The fourth proportional to 16,505, 22,777.44 and 9,053 is: 12,493.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505 : 22,777.44 = 9,053 : x
  2. Step 2: Convert to fraction form
    16,505/22,777.44 = 9,053/x
  3. Step 3: Cross multiply
    16,505x = 22,777.44 × 9,053
  4. Step 4: Simplify right side
    16,505x = 206,204,164.32
  5. Step 5: Solve for x
    x = 206,204,164.32/16,505
  6. Step 6: Final answer
    x = 12,493.44

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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.