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Finding the Fourth Proportional to 16,539.82, 22,825.97 and 9,466.09

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Solution

The fourth proportional to 16,539.82, 22,825.97 and 9,466.09 is: 13,063.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,539.82 : 22,825.97 = 9,466.09 : x
  2. Step 2: Convert to fraction form
    16,539.82/22,825.97 = 9,466.09/x
  3. Step 3: Cross multiply
    16,539.82x = 22,825.97 × 9,466.09
  4. Step 4: Simplify right side
    16,539.82x = 216,072,617.46
  5. Step 5: Solve for x
    x = 216,072,617.46/16,539.82
  6. Step 6: Final answer
    x = 13,063.78

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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.