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Finding the Fourth Proportional to 30,422.56, 41,982.66 and 16,994

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Solution

The fourth proportional to 30,422.56, 41,982.66 and 16,994 is: 23,451.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,422.56 : 41,982.66 = 16,994 : x
  2. Step 2: Convert to fraction form
    30,422.56/41,982.66 = 16,994/x
  3. Step 3: Cross multiply
    30,422.56x = 41,982.66 × 16,994
  4. Step 4: Simplify right side
    30,422.56x = 713,453,324.04
  5. Step 5: Solve for x
    x = 713,453,324.04/30,422.56
  6. Step 6: Final answer
    x = 23,451.46

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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.