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Finding the Fourth Proportional to 27,739.81, 38,280.94 and 15,164.56

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Solution

The fourth proportional to 27,739.81, 38,280.94 and 15,164.56 is: 20,927.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,739.81 : 38,280.94 = 15,164.56 : x
  2. Step 2: Convert to fraction form
    27,739.81/38,280.94 = 15,164.56/x
  3. Step 3: Cross multiply
    27,739.81x = 38,280.94 × 15,164.56
  4. Step 4: Simplify right side
    27,739.81x = 580,513,611.49
  5. Step 5: Solve for x
    x = 580,513,611.49/27,739.81
  6. Step 6: Final answer
    x = 20,927.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.