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Finding the Fourth Proportional to 16,203.24, 22,361.22 and 9,129.96

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Solution

The fourth proportional to 16,203.24, 22,361.22 and 9,129.96 is: 12,599.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,203.24 : 22,361.22 = 9,129.96 : x
  2. Step 2: Convert to fraction form
    16,203.24/22,361.22 = 9,129.96/x
  3. Step 3: Cross multiply
    16,203.24x = 22,361.22 × 9,129.96
  4. Step 4: Simplify right side
    16,203.24x = 204,157,044.15
  5. Step 5: Solve for x
    x = 204,157,044.15/16,203.24
  6. Step 6: Final answer
    x = 12,599.77

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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.