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Finding the Fourth Proportional to 23,696.89, 32,701.73 and 13,086.56

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Solution

The fourth proportional to 23,696.89, 32,701.73 and 13,086.56 is: 18,059.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,696.89 : 32,701.73 = 13,086.56 : x
  2. Step 2: Convert to fraction form
    23,696.89/32,701.73 = 13,086.56/x
  3. Step 3: Cross multiply
    23,696.89x = 32,701.73 × 13,086.56
  4. Step 4: Simplify right side
    23,696.89x = 427,953,168.07
  5. Step 5: Solve for x
    x = 427,953,168.07/23,696.89
  6. Step 6: Final answer
    x = 18,059.47

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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.