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Finding the Fourth Proportional to 23,266.82, 32,113.90 and 13,201.16

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Solution

The fourth proportional to 23,266.82, 32,113.90 and 13,201.16 is: 18,220.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,266.82 : 32,113.90 = 13,201.16 : x
  2. Step 2: Convert to fraction form
    23,266.82/32,113.90 = 13,201.16/x
  3. Step 3: Cross multiply
    23,266.82x = 32,113.90 × 13,201.16
  4. Step 4: Simplify right side
    23,266.82x = 423,940,732.12
  5. Step 5: Solve for x
    x = 423,940,732.12/23,266.82
  6. Step 6: Final answer
    x = 18,220.83

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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.