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Finding the Fourth Proportional to 20,918.50, 31,382.61 and 7,067.50

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Solution

The fourth proportional to 20,918.50, 31,382.61 and 7,067.50 is: 10,602.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,918.50 : 31,382.61 = 7,067.50 : x
  2. Step 2: Convert to fraction form
    20,918.50/31,382.61 = 7,067.50/x
  3. Step 3: Cross multiply
    20,918.50x = 31,382.61 × 7,067.50
  4. Step 4: Simplify right side
    20,918.50x = 221,796,596.18
  5. Step 5: Solve for x
    x = 221,796,596.18/20,918.50
  6. Step 6: Final answer
    x = 10,602.89

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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.