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Finding the Fourth Proportional to 23,769.38, 35,653.98 and 8,186.96

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Solution

The fourth proportional to 23,769.38, 35,653.98 and 8,186.96 is: 12,280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,769.38 : 35,653.98 = 8,186.96 : x
  2. Step 2: Convert to fraction form
    23,769.38/35,653.98 = 8,186.96/x
  3. Step 3: Cross multiply
    23,769.38x = 35,653.98 × 8,186.96
  4. Step 4: Simplify right side
    23,769.38x = 291,897,708.10
  5. Step 5: Solve for x
    x = 291,897,708.10/23,769.38
  6. Step 6: Final answer
    x = 12,280.41

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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.