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Finding the Fourth Proportional to 20,194.46, 27,870.98 and 11,584.01

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Solution

The fourth proportional to 20,194.46, 27,870.98 and 11,584.01 is: 15,987.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194.46 : 27,870.98 = 11,584.01 : x
  2. Step 2: Convert to fraction form
    20,194.46/27,870.98 = 11,584.01/x
  3. Step 3: Cross multiply
    20,194.46x = 27,870.98 × 11,584.01
  4. Step 4: Simplify right side
    20,194.46x = 322,857,566.01
  5. Step 5: Solve for x
    x = 322,857,566.01/20,194.46
  6. Step 6: Final answer
    x = 15,987.43

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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.