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Finding the Fourth Proportional to 16,505.82, 22,781.99 and 9,436.34

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Solution

The fourth proportional to 16,505.82, 22,781.99 and 9,436.34 is: 13,024.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505.82 : 22,781.99 = 9,436.34 : x
  2. Step 2: Convert to fraction form
    16,505.82/22,781.99 = 9,436.34/x
  3. Step 3: Cross multiply
    16,505.82x = 22,781.99 × 9,436.34
  4. Step 4: Simplify right side
    16,505.82x = 214,978,684.06
  5. Step 5: Solve for x
    x = 214,978,684.06/16,505.82
  6. Step 6: Final answer
    x = 13,024.42

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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.