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Finding the Fourth Proportional to 16,443, 22,697.10 and 9,819

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Solution

The fourth proportional to 16,443, 22,697.10 and 9,819 is: 13,553.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,443 : 22,697.10 = 9,819 : x
  2. Step 2: Convert to fraction form
    16,443/22,697.10 = 9,819/x
  3. Step 3: Cross multiply
    16,443x = 22,697.10 × 9,819
  4. Step 4: Simplify right side
    16,443x = 222,862,824.90
  5. Step 5: Solve for x
    x = 222,862,824.90/16,443
  6. Step 6: Final answer
    x = 13,553.66

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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.