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Finding the Fourth Proportional to 23,005.11, 34,510.05 and 8,215.32

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Solution

The fourth proportional to 23,005.11, 34,510.05 and 8,215.32 is: 12,323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,005.11 : 34,510.05 = 8,215.32 : x
  2. Step 2: Convert to fraction form
    23,005.11/34,510.05 = 8,215.32/x
  3. Step 3: Cross multiply
    23,005.11x = 34,510.05 × 8,215.32
  4. Step 4: Simplify right side
    23,005.11x = 283,511,103.97
  5. Step 5: Solve for x
    x = 283,511,103.97/23,005.11
  6. Step 6: Final answer
    x = 12,323.83

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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.