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Finding the Fourth Proportional to 27,705.20, 41,530.80 and 15,846.80

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Solution

The fourth proportional to 27,705.20, 41,530.80 and 15,846.80 is: 23,754.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,705.20 : 41,530.80 = 15,846.80 : x
  2. Step 2: Convert to fraction form
    27,705.20/41,530.80 = 15,846.80/x
  3. Step 3: Cross multiply
    27,705.20x = 41,530.80 × 15,846.80
  4. Step 4: Simplify right side
    27,705.20x = 658,130,281.44
  5. Step 5: Solve for x
    x = 658,130,281.44/27,705.20
  6. Step 6: Final answer
    x = 23,754.76

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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.