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Finding the Fourth Proportional to 23,006.57, 34,517.15 and 8,215.16

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Solution

The fourth proportional to 23,006.57, 34,517.15 and 8,215.16 is: 12,325.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,006.57 : 34,517.15 = 8,215.16 : x
  2. Step 2: Convert to fraction form
    23,006.57/34,517.15 = 8,215.16/x
  3. Step 3: Cross multiply
    23,006.57x = 34,517.15 × 8,215.16
  4. Step 4: Simplify right side
    23,006.57x = 283,563,909.99
  5. Step 5: Solve for x
    x = 283,563,909.99/23,006.57
  6. Step 6: Final answer
    x = 12,325.34

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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.