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Finding the Fourth Proportional to 27,025.84, 40,540.92 and 9,499.60

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Solution

The fourth proportional to 27,025.84, 40,540.92 and 9,499.60 is: 14,250.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,025.84 : 40,540.92 = 9,499.60 : x
  2. Step 2: Convert to fraction form
    27,025.84/40,540.92 = 9,499.60/x
  3. Step 3: Cross multiply
    27,025.84x = 40,540.92 × 9,499.60
  4. Step 4: Simplify right side
    27,025.84x = 385,122,273.43
  5. Step 5: Solve for x
    x = 385,122,273.43/27,025.84
  6. Step 6: Final answer
    x = 14,250.15

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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.