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Finding the Fourth Proportional to 26,583.30, 39,872.70 and 8,115.30

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Solution

The fourth proportional to 26,583.30, 39,872.70 and 8,115.30 is: 12,172.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,583.30 : 39,872.70 = 8,115.30 : x
  2. Step 2: Convert to fraction form
    26,583.30/39,872.70 = 8,115.30/x
  3. Step 3: Cross multiply
    26,583.30x = 39,872.70 × 8,115.30
  4. Step 4: Simplify right side
    26,583.30x = 323,578,922.31
  5. Step 5: Solve for x
    x = 323,578,922.31/26,583.30
  6. Step 6: Final answer
    x = 12,172.26

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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.