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Finding the Fourth Proportional to 23,211.22, 34,816.77 and 8,420.11

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Solution

The fourth proportional to 23,211.22, 34,816.77 and 8,420.11 is: 12,630.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,211.22 : 34,816.77 = 8,420.11 : x
  2. Step 2: Convert to fraction form
    23,211.22/34,816.77 = 8,420.11/x
  3. Step 3: Cross multiply
    23,211.22x = 34,816.77 × 8,420.11
  4. Step 4: Simplify right side
    23,211.22x = 293,161,033.24
  5. Step 5: Solve for x
    x = 293,161,033.24/23,211.22
  6. Step 6: Final answer
    x = 12,630.14

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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.