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Finding the Fourth Proportional to 27,194.94, 40,791.60 and 9,652.50

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Solution

The fourth proportional to 27,194.94, 40,791.60 and 9,652.50 is: 14,478.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,194.94 : 40,791.60 = 9,652.50 : x
  2. Step 2: Convert to fraction form
    27,194.94/40,791.60 = 9,652.50/x
  3. Step 3: Cross multiply
    27,194.94x = 40,791.60 × 9,652.50
  4. Step 4: Simplify right side
    27,194.94x = 393,740,919
  5. Step 5: Solve for x
    x = 393,740,919/27,194.94
  6. Step 6: Final answer
    x = 14,478.46

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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.