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Finding the Fourth Proportional to 17,055.70, 23,524.83 and 9,983.53

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Solution

The fourth proportional to 17,055.70, 23,524.83 and 9,983.53 is: 13,770.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,055.70 : 23,524.83 = 9,983.53 : x
  2. Step 2: Convert to fraction form
    17,055.70/23,524.83 = 9,983.53/x
  3. Step 3: Cross multiply
    17,055.70x = 23,524.83 × 9,983.53
  4. Step 4: Simplify right side
    17,055.70x = 234,860,846.05
  5. Step 5: Solve for x
    x = 234,860,846.05/17,055.70
  6. Step 6: Final answer
    x = 13,770.23

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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.