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Finding the Fourth Proportional to 20,185.84, 30,283.29 and 6,146.97

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Solution

The fourth proportional to 20,185.84, 30,283.29 and 6,146.97 is: 9,221.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,185.84 : 30,283.29 = 6,146.97 : x
  2. Step 2: Convert to fraction form
    20,185.84/30,283.29 = 6,146.97/x
  3. Step 3: Cross multiply
    20,185.84x = 30,283.29 × 6,146.97
  4. Step 4: Simplify right side
    20,185.84x = 186,150,619.32
  5. Step 5: Solve for x
    x = 186,150,619.32/20,185.84
  6. Step 6: Final answer
    x = 9,221.84

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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.