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Finding the Fourth Proportional to 20,194.59, 27,882.26 and 12,643.98

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Solution

The fourth proportional to 20,194.59, 27,882.26 and 12,643.98 is: 17,457.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194.59 : 27,882.26 = 12,643.98 : x
  2. Step 2: Convert to fraction form
    20,194.59/27,882.26 = 12,643.98/x
  3. Step 3: Cross multiply
    20,194.59x = 27,882.26 × 12,643.98
  4. Step 4: Simplify right side
    20,194.59x = 352,542,737.79
  5. Step 5: Solve for x
    x = 352,542,737.79/20,194.59
  6. Step 6: Final answer
    x = 17,457.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.