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Finding the Fourth Proportional to 16,175.21, 22,321.75 and 9,101.63

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Solution

The fourth proportional to 16,175.21, 22,321.75 and 9,101.63 is: 12,560.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,175.21 : 22,321.75 = 9,101.63 : x
  2. Step 2: Convert to fraction form
    16,175.21/22,321.75 = 9,101.63/x
  3. Step 3: Cross multiply
    16,175.21x = 22,321.75 × 9,101.63
  4. Step 4: Simplify right side
    16,175.21x = 203,164,309.45
  5. Step 5: Solve for x
    x = 203,164,309.45/16,175.21
  6. Step 6: Final answer
    x = 12,560.23

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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.