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Finding the Fourth Proportional to 23,006.54, 34,517.09 and 8,215.13

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Solution

The fourth proportional to 23,006.54, 34,517.09 and 8,215.13 is: 12,325.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,006.54 : 34,517.09 = 8,215.13 : x
  2. Step 2: Convert to fraction form
    23,006.54/34,517.09 = 8,215.13/x
  3. Step 3: Cross multiply
    23,006.54x = 34,517.09 × 8,215.13
  4. Step 4: Simplify right side
    23,006.54x = 283,562,381.57
  5. Step 5: Solve for x
    x = 283,562,381.57/23,006.54
  6. Step 6: Final answer
    x = 12,325.29

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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.