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Finding the Fourth Proportional to 27,633.15, 41,448.71 and 7,911.68

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Solution

The fourth proportional to 27,633.15, 41,448.71 and 7,911.68 is: 11,867.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,633.15 : 41,448.71 = 7,911.68 : x
  2. Step 2: Convert to fraction form
    27,633.15/41,448.71 = 7,911.68/x
  3. Step 3: Cross multiply
    27,633.15x = 41,448.71 × 7,911.68
  4. Step 4: Simplify right side
    27,633.15x = 327,928,742.47
  5. Step 5: Solve for x
    x = 327,928,742.47/27,633.15
  6. Step 6: Final answer
    x = 11,867.22

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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.