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Finding the Fourth Proportional to 23,003.16, 34,512.03 and 8,211.75

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Solution

The fourth proportional to 23,003.16, 34,512.03 and 8,211.75 is: 12,320.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,003.16 : 34,512.03 = 8,211.75 : x
  2. Step 2: Convert to fraction form
    23,003.16/34,512.03 = 8,211.75/x
  3. Step 3: Cross multiply
    23,003.16x = 34,512.03 × 8,211.75
  4. Step 4: Simplify right side
    23,003.16x = 283,404,162.35
  5. Step 5: Solve for x
    x = 283,404,162.35/23,003.16
  6. Step 6: Final answer
    x = 12,320.23

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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.