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Finding the Fourth Proportional to 22,804.26, 34,211.52 and 8,014.20

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Solution

The fourth proportional to 22,804.26, 34,211.52 and 8,014.20 is: 12,023.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,804.26 : 34,211.52 = 8,014.20 : x
  2. Step 2: Convert to fraction form
    22,804.26/34,211.52 = 8,014.20/x
  3. Step 3: Cross multiply
    22,804.26x = 34,211.52 × 8,014.20
  4. Step 4: Simplify right side
    22,804.26x = 274,177,963.58
  5. Step 5: Solve for x
    x = 274,177,963.58/22,804.26
  6. Step 6: Final answer
    x = 12,023.10

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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.