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Finding the Fourth Proportional to 23,884.75, 35,842.52 and 10,033.75

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Solution

The fourth proportional to 23,884.75, 35,842.52 and 10,033.75 is: 15,057.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,884.75 : 35,842.52 = 10,033.75 : x
  2. Step 2: Convert to fraction form
    23,884.75/35,842.52 = 10,033.75/x
  3. Step 3: Cross multiply
    23,884.75x = 35,842.52 × 10,033.75
  4. Step 4: Simplify right side
    23,884.75x = 359,634,885.05
  5. Step 5: Solve for x
    x = 359,634,885.05/23,884.75
  6. Step 6: Final answer
    x = 15,057.09

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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.