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Finding the Fourth Proportional to 23,494.39, 35,237.83 and 6,850.53

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Solution

The fourth proportional to 23,494.39, 35,237.83 and 6,850.53 is: 10,274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,494.39 : 35,237.83 = 6,850.53 : x
  2. Step 2: Convert to fraction form
    23,494.39/35,237.83 = 6,850.53/x
  3. Step 3: Cross multiply
    23,494.39x = 35,237.83 × 6,850.53
  4. Step 4: Simplify right side
    23,494.39x = 241,397,811.55
  5. Step 5: Solve for x
    x = 241,397,811.55/23,494.39
  6. Step 6: Final answer
    x = 10,274.70

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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.