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Finding the Fourth Proportional to 21,930.84, 32,896.26 and 7,141.26

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Solution

The fourth proportional to 21,930.84, 32,896.26 and 7,141.26 is: 10,711.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,930.84 : 32,896.26 = 7,141.26 : x
  2. Step 2: Convert to fraction form
    21,930.84/32,896.26 = 7,141.26/x
  3. Step 3: Cross multiply
    21,930.84x = 32,896.26 × 7,141.26
  4. Step 4: Simplify right side
    21,930.84x = 234,920,745.69
  5. Step 5: Solve for x
    x = 234,920,745.69/21,930.84
  6. Step 6: Final answer
    x = 10,711.89

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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.