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Finding the Fourth Proportional to 14,194.88, 21,276.41 and 5,759.43

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Solution

The fourth proportional to 14,194.88, 21,276.41 and 5,759.43 is: 8,632.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,194.88 : 21,276.41 = 5,759.43 : x
  2. Step 2: Convert to fraction form
    14,194.88/21,276.41 = 5,759.43/x
  3. Step 3: Cross multiply
    14,194.88x = 21,276.41 × 5,759.43
  4. Step 4: Simplify right side
    14,194.88x = 122,539,965.25
  5. Step 5: Solve for x
    x = 122,539,965.25/14,194.88
  6. Step 6: Final answer
    x = 8,632.69

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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.