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Finding the Fourth Proportional to 21,069.36, 31,584.50 and 7,930.44

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Solution

The fourth proportional to 21,069.36, 31,584.50 and 7,930.44 is: 11,888.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,069.36 : 31,584.50 = 7,930.44 : x
  2. Step 2: Convert to fraction form
    21,069.36/31,584.50 = 7,930.44/x
  3. Step 3: Cross multiply
    21,069.36x = 31,584.50 × 7,930.44
  4. Step 4: Simplify right side
    21,069.36x = 250,478,942.53
  5. Step 5: Solve for x
    x = 250,478,942.53/21,069.36
  6. Step 6: Final answer
    x = 11,888.30

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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.