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Finding the Fourth Proportional to 18,230, 27,347.64 and 5,745.80

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Solution

The fourth proportional to 18,230, 27,347.64 and 5,745.80 is: 8,619.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,230 : 27,347.64 = 5,745.80 : x
  2. Step 2: Convert to fraction form
    18,230/27,347.64 = 5,745.80/x
  3. Step 3: Cross multiply
    18,230x = 27,347.64 × 5,745.80
  4. Step 4: Simplify right side
    18,230x = 157,134,069.91
  5. Step 5: Solve for x
    x = 157,134,069.91/18,230
  6. Step 6: Final answer
    x = 8,619.53

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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.