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Finding the Fourth Proportional to 27,497.20, 41,245.80 and 17,647.60

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Solution

The fourth proportional to 27,497.20, 41,245.80 and 17,647.60 is: 26,471.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,497.20 : 41,245.80 = 17,647.60 : x
  2. Step 2: Convert to fraction form
    27,497.20/41,245.80 = 17,647.60/x
  3. Step 3: Cross multiply
    27,497.20x = 41,245.80 × 17,647.60
  4. Step 4: Simplify right side
    27,497.20x = 727,889,380.08
  5. Step 5: Solve for x
    x = 727,889,380.08/27,497.20
  6. Step 6: Final answer
    x = 26,471.40

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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.