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Finding the Fourth Proportional to 19,491.97, 29,216.07 and 9,638.17

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Solution

The fourth proportional to 19,491.97, 29,216.07 and 9,638.17 is: 14,446.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,491.97 : 29,216.07 = 9,638.17 : x
  2. Step 2: Convert to fraction form
    19,491.97/29,216.07 = 9,638.17/x
  3. Step 3: Cross multiply
    19,491.97x = 29,216.07 × 9,638.17
  4. Step 4: Simplify right side
    19,491.97x = 281,589,449.39
  5. Step 5: Solve for x
    x = 281,589,449.39/19,491.97
  6. Step 6: Final answer
    x = 14,446.43

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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.