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Finding the Fourth Proportional to 18,586.44, 27,877.64 and 5,438.93

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Solution

The fourth proportional to 18,586.44, 27,877.64 and 5,438.93 is: 8,157.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,586.44 : 27,877.64 = 5,438.93 : x
  2. Step 2: Convert to fraction form
    18,586.44/27,877.64 = 5,438.93/x
  3. Step 3: Cross multiply
    18,586.44x = 27,877.64 × 5,438.93
  4. Step 4: Simplify right side
    18,586.44x = 151,624,365.94
  5. Step 5: Solve for x
    x = 151,624,365.94/18,586.44
  6. Step 6: Final answer
    x = 8,157.79

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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.