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Finding the Fourth Proportional to 16,327, 22,531.26 and 9,703

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Solution

The fourth proportional to 16,327, 22,531.26 and 9,703 is: 13,390.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,327 : 22,531.26 = 9,703 : x
  2. Step 2: Convert to fraction form
    16,327/22,531.26 = 9,703/x
  3. Step 3: Cross multiply
    16,327x = 22,531.26 × 9,703
  4. Step 4: Simplify right side
    16,327x = 218,620,815.78
  5. Step 5: Solve for x
    x = 218,620,815.78/16,327
  6. Step 6: Final answer
    x = 13,390.14

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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.