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Finding the Fourth Proportional to 16,584.82, 22,887.38 and 9,871.35

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Solution

The fourth proportional to 16,584.82, 22,887.38 and 9,871.35 is: 13,622.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,584.82 : 22,887.38 = 9,871.35 : x
  2. Step 2: Convert to fraction form
    16,584.82/22,887.38 = 9,871.35/x
  3. Step 3: Cross multiply
    16,584.82x = 22,887.38 × 9,871.35
  4. Step 4: Simplify right side
    16,584.82x = 225,929,338.56
  5. Step 5: Solve for x
    x = 225,929,338.56/16,584.82
  6. Step 6: Final answer
    x = 13,622.66

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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.