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Finding the Fourth Proportional to 18,578.58, 27,866.82 and 13,586.06

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Solution

The fourth proportional to 18,578.58, 27,866.82 and 13,586.06 is: 20,378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,578.58 : 27,866.82 = 13,586.06 : x
  2. Step 2: Convert to fraction form
    18,578.58/27,866.82 = 13,586.06/x
  3. Step 3: Cross multiply
    18,578.58x = 27,866.82 × 13,586.06
  4. Step 4: Simplify right side
    18,578.58x = 378,600,288.53
  5. Step 5: Solve for x
    x = 378,600,288.53/18,578.58
  6. Step 6: Final answer
    x = 20,378.32

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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.