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Finding the Fourth Proportional to 27,674.46, 41,519.99 and 12,892.16

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Solution

The fourth proportional to 27,674.46, 41,519.99 and 12,892.16 is: 19,342.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,674.46 : 41,519.99 = 12,892.16 : x
  2. Step 2: Convert to fraction form
    27,674.46/41,519.99 = 12,892.16/x
  3. Step 3: Cross multiply
    27,674.46x = 41,519.99 × 12,892.16
  4. Step 4: Simplify right side
    27,674.46x = 535,282,490.31
  5. Step 5: Solve for x
    x = 535,282,490.31/27,674.46
  6. Step 6: Final answer
    x = 19,342.11

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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.