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Finding the Fourth Proportional to 27,594.83, 41,399.24 and 7,873.46

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Solution

The fourth proportional to 27,594.83, 41,399.24 and 7,873.46 is: 11,812.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,594.83 : 41,399.24 = 7,873.46 : x
  2. Step 2: Convert to fraction form
    27,594.83/41,399.24 = 7,873.46/x
  3. Step 3: Cross multiply
    27,594.83x = 41,399.24 × 7,873.46
  4. Step 4: Simplify right side
    27,594.83x = 325,955,169.05
  5. Step 5: Solve for x
    x = 325,955,169.05/27,594.83
  6. Step 6: Final answer
    x = 11,812.18

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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.