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Finding the Fourth Proportional to 23,812.96, 32,860.60 and 13,201.96

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Solution

The fourth proportional to 23,812.96, 32,860.60 and 13,201.96 is: 18,217.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,812.96 : 32,860.60 = 13,201.96 : x
  2. Step 2: Convert to fraction form
    23,812.96/32,860.60 = 13,201.96/x
  3. Step 3: Cross multiply
    23,812.96x = 32,860.60 × 13,201.96
  4. Step 4: Simplify right side
    23,812.96x = 433,824,326.78
  5. Step 5: Solve for x
    x = 433,824,326.78/23,812.96
  6. Step 6: Final answer
    x = 18,217.99

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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.