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Finding the Fourth Proportional to 21,634.30, 32,454.26 and 7,593.31

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Solution

The fourth proportional to 21,634.30, 32,454.26 and 7,593.31 is: 11,390.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,634.30 : 32,454.26 = 7,593.31 : x
  2. Step 2: Convert to fraction form
    21,634.30/32,454.26 = 7,593.31/x
  3. Step 3: Cross multiply
    21,634.30x = 32,454.26 × 7,593.31
  4. Step 4: Simplify right side
    21,634.30x = 246,435,257.00
  5. Step 5: Solve for x
    x = 246,435,257.00/21,634.30
  6. Step 6: Final answer
    x = 11,390.95

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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.