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Finding the Fourth Proportional to 23,812.56, 32,863.32 and 13,205.64

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Solution

The fourth proportional to 23,812.56, 32,863.32 and 13,205.64 is: 18,224.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,812.56 : 32,863.32 = 13,205.64 : x
  2. Step 2: Convert to fraction form
    23,812.56/32,863.32 = 13,205.64/x
  3. Step 3: Cross multiply
    23,812.56x = 32,863.32 × 13,205.64
  4. Step 4: Simplify right side
    23,812.56x = 433,981,173.12
  5. Step 5: Solve for x
    x = 433,981,173.12/23,812.56
  6. Step 6: Final answer
    x = 18,224.89

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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.