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Finding the Fourth Proportional to 16,175.36, 22,321.90 and 9,101.84

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Solution

The fourth proportional to 16,175.36, 22,321.90 and 9,101.84 is: 12,560.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,175.36 : 22,321.90 = 9,101.84 : x
  2. Step 2: Convert to fraction form
    16,175.36/22,321.90 = 9,101.84/x
  3. Step 3: Cross multiply
    16,175.36x = 22,321.90 × 9,101.84
  4. Step 4: Simplify right side
    16,175.36x = 203,170,362.30
  5. Step 5: Solve for x
    x = 203,170,362.30/16,175.36
  6. Step 6: Final answer
    x = 12,560.48

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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.