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Finding the Fourth Proportional to 23,003.41, 34,508.40 and 8,209.21

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Solution

The fourth proportional to 23,003.41, 34,508.40 and 8,209.21 is: 12,314.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,003.41 : 34,508.40 = 8,209.21 : x
  2. Step 2: Convert to fraction form
    23,003.41/34,508.40 = 8,209.21/x
  3. Step 3: Cross multiply
    23,003.41x = 34,508.40 × 8,209.21
  4. Step 4: Simplify right side
    23,003.41x = 283,286,702.36
  5. Step 5: Solve for x
    x = 283,286,702.36/23,003.41
  6. Step 6: Final answer
    x = 12,314.99

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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.