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Finding the Fourth Proportional to 16,175.22, 22,321.56 and 9,101.64

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Solution

The fourth proportional to 16,175.22, 22,321.56 and 9,101.64 is: 12,560.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,175.22 : 22,321.56 = 9,101.64 : x
  2. Step 2: Convert to fraction form
    16,175.22/22,321.56 = 9,101.64/x
  3. Step 3: Cross multiply
    16,175.22x = 22,321.56 × 9,101.64
  4. Step 4: Simplify right side
    16,175.22x = 203,162,803.36
  5. Step 5: Solve for x
    x = 203,162,803.36/16,175.22
  6. Step 6: Final answer
    x = 12,560.13

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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.