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Finding the Fourth Proportional to 23,911.76, 35,864.92 and 6,382.96

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Solution

The fourth proportional to 23,911.76, 35,864.92 and 6,382.96 is: 9,573.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,911.76 : 35,864.92 = 6,382.96 : x
  2. Step 2: Convert to fraction form
    23,911.76/35,864.92 = 6,382.96/x
  3. Step 3: Cross multiply
    23,911.76x = 35,864.92 × 6,382.96
  4. Step 4: Simplify right side
    23,911.76x = 228,924,349.76
  5. Step 5: Solve for x
    x = 228,924,349.76/23,911.76
  6. Step 6: Final answer
    x = 9,573.71

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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.