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Finding the Fourth Proportional to 27,816.84, 41,715.42 and 12,021.23

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Solution

The fourth proportional to 27,816.84, 41,715.42 and 12,021.23 is: 18,027.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,816.84 : 41,715.42 = 12,021.23 : x
  2. Step 2: Convert to fraction form
    27,816.84/41,715.42 = 12,021.23/x
  3. Step 3: Cross multiply
    27,816.84x = 41,715.42 × 12,021.23
  4. Step 4: Simplify right side
    27,816.84x = 501,470,449.79
  5. Step 5: Solve for x
    x = 501,470,449.79/27,816.84
  6. Step 6: Final answer
    x = 18,027.59

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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.