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Finding the Fourth Proportional to 27,789.06, 41,683.59 and 9,321.06

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Solution

The fourth proportional to 27,789.06, 41,683.59 and 9,321.06 is: 13,981.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,789.06 : 41,683.59 = 9,321.06 : x
  2. Step 2: Convert to fraction form
    27,789.06/41,683.59 = 9,321.06/x
  3. Step 3: Cross multiply
    27,789.06x = 41,683.59 × 9,321.06
  4. Step 4: Simplify right side
    27,789.06x = 388,535,243.41
  5. Step 5: Solve for x
    x = 388,535,243.41/27,789.06
  6. Step 6: Final answer
    x = 13,981.59

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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.