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Finding the Fourth Proportional to 27,084.68, 40,615.74 and 9,550.44

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Solution

The fourth proportional to 27,084.68, 40,615.74 and 9,550.44 is: 14,321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,084.68 : 40,615.74 = 9,550.44 : x
  2. Step 2: Convert to fraction form
    27,084.68/40,615.74 = 9,550.44/x
  3. Step 3: Cross multiply
    27,084.68x = 40,615.74 × 9,550.44
  4. Step 4: Simplify right side
    27,084.68x = 387,898,187.93
  5. Step 5: Solve for x
    x = 387,898,187.93/27,084.68
  6. Step 6: Final answer
    x = 14,321.68

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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.