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Finding the Fourth Proportional to 16,241.76, 22,407.41 and 9,866.09

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Solution

The fourth proportional to 16,241.76, 22,407.41 and 9,866.09 is: 13,611.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.76 : 22,407.41 = 9,866.09 : x
  2. Step 2: Convert to fraction form
    16,241.76/22,407.41 = 9,866.09/x
  3. Step 3: Cross multiply
    16,241.76x = 22,407.41 × 9,866.09
  4. Step 4: Simplify right side
    16,241.76x = 221,073,362.36
  5. Step 5: Solve for x
    x = 221,073,362.36/16,241.76
  6. Step 6: Final answer
    x = 13,611.42

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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.