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Finding the Fourth Proportional to 23,014.53, 34,522.20 and 8,234.06

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Solution

The fourth proportional to 23,014.53, 34,522.20 and 8,234.06 is: 12,351.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,014.53 : 34,522.20 = 8,234.06 : x
  2. Step 2: Convert to fraction form
    23,014.53/34,522.20 = 8,234.06/x
  3. Step 3: Cross multiply
    23,014.53x = 34,522.20 × 8,234.06
  4. Step 4: Simplify right side
    23,014.53x = 284,257,693.52
  5. Step 5: Solve for x
    x = 284,257,693.52/23,014.53
  6. Step 6: Final answer
    x = 12,351.23

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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.