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Finding the Fourth Proportional to 20,084.85, 27,710.76 and 11,585.83

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Solution

The fourth proportional to 20,084.85, 27,710.76 and 11,585.83 is: 15,984.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,084.85 : 27,710.76 = 11,585.83 : x
  2. Step 2: Convert to fraction form
    20,084.85/27,710.76 = 11,585.83/x
  3. Step 3: Cross multiply
    20,084.85x = 27,710.76 × 11,585.83
  4. Step 4: Simplify right side
    20,084.85x = 321,052,096.60
  5. Step 5: Solve for x
    x = 321,052,096.60/20,084.85
  6. Step 6: Final answer
    x = 15,984.79

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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.