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Finding the Fourth Proportional to 18,594.89, 27,896.72 and 6,114.95

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Solution

The fourth proportional to 18,594.89, 27,896.72 and 6,114.95 is: 9,173.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,594.89 : 27,896.72 = 6,114.95 : x
  2. Step 2: Convert to fraction form
    18,594.89/27,896.72 = 6,114.95/x
  3. Step 3: Cross multiply
    18,594.89x = 27,896.72 × 6,114.95
  4. Step 4: Simplify right side
    18,594.89x = 170,586,877.91
  5. Step 5: Solve for x
    x = 170,586,877.91/18,594.89
  6. Step 6: Final answer
    x = 9,173.86

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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.