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Finding the Fourth Proportional to 23,696.96, 35,537.76 and 12,597.30

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Solution

The fourth proportional to 23,696.96, 35,537.76 and 12,597.30 is: 18,891.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,696.96 : 35,537.76 = 12,597.30 : x
  2. Step 2: Convert to fraction form
    23,696.96/35,537.76 = 12,597.30/x
  3. Step 3: Cross multiply
    23,696.96x = 35,537.76 × 12,597.30
  4. Step 4: Simplify right side
    23,696.96x = 447,679,824.05
  5. Step 5: Solve for x
    x = 447,679,824.05/23,696.96
  6. Step 6: Final answer
    x = 18,891.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.