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Finding the Fourth Proportional to 27,731.51, 41,589.05 and 8,010.23

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Solution

The fourth proportional to 27,731.51, 41,589.05 and 8,010.23 is: 12,012.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,731.51 : 41,589.05 = 8,010.23 : x
  2. Step 2: Convert to fraction form
    27,731.51/41,589.05 = 8,010.23/x
  3. Step 3: Cross multiply
    27,731.51x = 41,589.05 × 8,010.23
  4. Step 4: Simplify right side
    27,731.51x = 333,137,919.90
  5. Step 5: Solve for x
    x = 333,137,919.90/27,731.51
  6. Step 6: Final answer
    x = 12,012.98

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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.