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Finding the Fourth Proportional to 27,189.37, 40,776.22 and 7,468.57

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Solution

The fourth proportional to 27,189.37, 40,776.22 and 7,468.57 is: 11,200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,189.37 : 40,776.22 = 7,468.57 : x
  2. Step 2: Convert to fraction form
    27,189.37/40,776.22 = 7,468.57/x
  3. Step 3: Cross multiply
    27,189.37x = 40,776.22 × 7,468.57
  4. Step 4: Simplify right side
    27,189.37x = 304,540,053.41
  5. Step 5: Solve for x
    x = 304,540,053.41/27,189.37
  6. Step 6: Final answer
    x = 11,200.70

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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.