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Finding the Fourth Proportional to 18,232.80, 27,349.20 and 7,695.24

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Solution

The fourth proportional to 18,232.80, 27,349.20 and 7,695.24 is: 11,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,232.80 : 27,349.20 = 7,695.24 : x
  2. Step 2: Convert to fraction form
    18,232.80/27,349.20 = 7,695.24/x
  3. Step 3: Cross multiply
    18,232.80x = 27,349.20 × 7,695.24
  4. Step 4: Simplify right side
    18,232.80x = 210,458,657.81
  5. Step 5: Solve for x
    x = 210,458,657.81/18,232.80
  6. Step 6: Final answer
    x = 11,542.86

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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.