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Finding the Fourth Proportional to 23,211.70, 34,822.74 and 8,420.29

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Solution

The fourth proportional to 23,211.70, 34,822.74 and 8,420.29 is: 12,632.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,211.70 : 34,822.74 = 8,420.29 : x
  2. Step 2: Convert to fraction form
    23,211.70/34,822.74 = 8,420.29/x
  3. Step 3: Cross multiply
    23,211.70x = 34,822.74 × 8,420.29
  4. Step 4: Simplify right side
    23,211.70x = 293,217,589.78
  5. Step 5: Solve for x
    x = 293,217,589.78/23,211.70
  6. Step 6: Final answer
    x = 12,632.32

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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.