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Finding the Fourth Proportional to 23,523.31, 35,288.21 and 8,730.97

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Solution

The fourth proportional to 23,523.31, 35,288.21 and 8,730.97 is: 13,097.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,523.31 : 35,288.21 = 8,730.97 : x
  2. Step 2: Convert to fraction form
    23,523.31/35,288.21 = 8,730.97/x
  3. Step 3: Cross multiply
    23,523.31x = 35,288.21 × 8,730.97
  4. Step 4: Simplify right side
    23,523.31x = 308,100,302.86
  5. Step 5: Solve for x
    x = 308,100,302.86/23,523.31
  6. Step 6: Final answer
    x = 13,097.66

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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.