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Finding the Fourth Proportional to 27,632.60, 41,450.38 and 7,914.04

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Solution

The fourth proportional to 27,632.60, 41,450.38 and 7,914.04 is: 11,871.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,632.60 : 41,450.38 = 7,914.04 : x
  2. Step 2: Convert to fraction form
    27,632.60/41,450.38 = 7,914.04/x
  3. Step 3: Cross multiply
    27,632.60x = 41,450.38 × 7,914.04
  4. Step 4: Simplify right side
    27,632.60x = 328,039,965.34
  5. Step 5: Solve for x
    x = 328,039,965.34/27,632.60
  6. Step 6: Final answer
    x = 11,871.48

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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.