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Finding the Fourth Proportional to 16,494.02, 22,757.42 and 9,781.14

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Solution

The fourth proportional to 16,494.02, 22,757.42 and 9,781.14 is: 13,495.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.02 : 22,757.42 = 9,781.14 : x
  2. Step 2: Convert to fraction form
    16,494.02/22,757.42 = 9,781.14/x
  3. Step 3: Cross multiply
    16,494.02x = 22,757.42 × 9,781.14
  4. Step 4: Simplify right side
    16,494.02x = 222,593,511.06
  5. Step 5: Solve for x
    x = 222,593,511.06/16,494.02
  6. Step 6: Final answer
    x = 13,495.41

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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.