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Finding the Fourth Proportional to 16,205.90, 22,366.18 and 9,494.09

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Solution

The fourth proportional to 16,205.90, 22,366.18 and 9,494.09 is: 13,103.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.90 : 22,366.18 = 9,494.09 : x
  2. Step 2: Convert to fraction form
    16,205.90/22,366.18 = 9,494.09/x
  3. Step 3: Cross multiply
    16,205.90x = 22,366.18 × 9,494.09
  4. Step 4: Simplify right side
    16,205.90x = 212,346,393.48
  5. Step 5: Solve for x
    x = 212,346,393.48/16,205.90
  6. Step 6: Final answer
    x = 13,103.03

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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.