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Finding the Fourth Proportional to 20,694.50, 31,047.88 and 11,935.70

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Solution

The fourth proportional to 20,694.50, 31,047.88 and 11,935.70 is: 17,907.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,694.50 : 31,047.88 = 11,935.70 : x
  2. Step 2: Convert to fraction form
    20,694.50/31,047.88 = 11,935.70/x
  3. Step 3: Cross multiply
    20,694.50x = 31,047.88 × 11,935.70
  4. Step 4: Simplify right side
    20,694.50x = 370,578,181.32
  5. Step 5: Solve for x
    x = 370,578,181.32/20,694.50
  6. Step 6: Final answer
    x = 17,907.09

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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.