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Finding the Fourth Proportional to 27,674.96, 41,524.62 and 14,524.16

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Solution

The fourth proportional to 27,674.96, 41,524.62 and 14,524.16 is: 21,792.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,674.96 : 41,524.62 = 14,524.16 : x
  2. Step 2: Convert to fraction form
    27,674.96/41,524.62 = 14,524.16/x
  3. Step 3: Cross multiply
    27,674.96x = 41,524.62 × 14,524.16
  4. Step 4: Simplify right side
    27,674.96x = 603,110,224.82
  5. Step 5: Solve for x
    x = 603,110,224.82/27,674.96
  6. Step 6: Final answer
    x = 21,792.63

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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.