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Finding the Fourth Proportional to 20,271.14, 27,974.19 and 11,318.63

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Solution

The fourth proportional to 20,271.14, 27,974.19 and 11,318.63 is: 15,619.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,271.14 : 27,974.19 = 11,318.63 : x
  2. Step 2: Convert to fraction form
    20,271.14/27,974.19 = 11,318.63/x
  3. Step 3: Cross multiply
    20,271.14x = 27,974.19 × 11,318.63
  4. Step 4: Simplify right side
    20,271.14x = 316,629,506.16
  5. Step 5: Solve for x
    x = 316,629,506.16/20,271.14
  6. Step 6: Final answer
    x = 15,619.72

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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.