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Finding the Fourth Proportional to 16,381.22, 22,605.17 and 9,665.31

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Solution

The fourth proportional to 16,381.22, 22,605.17 and 9,665.31 is: 13,337.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381.22 : 22,605.17 = 9,665.31 : x
  2. Step 2: Convert to fraction form
    16,381.22/22,605.17 = 9,665.31/x
  3. Step 3: Cross multiply
    16,381.22x = 22,605.17 × 9,665.31
  4. Step 4: Simplify right side
    16,381.22x = 218,485,927.33
  5. Step 5: Solve for x
    x = 218,485,927.33/16,381.22
  6. Step 6: Final answer
    x = 13,337.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.