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Finding the Fourth Proportional to 23,144.64, 34,717.11 and 8,343.19

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Solution

The fourth proportional to 23,144.64, 34,717.11 and 8,343.19 is: 12,514.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,144.64 : 34,717.11 = 8,343.19 : x
  2. Step 2: Convert to fraction form
    23,144.64/34,717.11 = 8,343.19/x
  3. Step 3: Cross multiply
    23,144.64x = 34,717.11 × 8,343.19
  4. Step 4: Simplify right side
    23,144.64x = 289,651,444.98
  5. Step 5: Solve for x
    x = 289,651,444.98/23,144.64
  6. Step 6: Final answer
    x = 12,514.84

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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.