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Finding the Fourth Proportional to 23,882.40, 35,825.22 and 6,351.84

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Solution

The fourth proportional to 23,882.40, 35,825.22 and 6,351.84 is: 9,528.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,882.40 : 35,825.22 = 6,351.84 : x
  2. Step 2: Convert to fraction form
    23,882.40/35,825.22 = 6,351.84/x
  3. Step 3: Cross multiply
    23,882.40x = 35,825.22 × 6,351.84
  4. Step 4: Simplify right side
    23,882.40x = 227,556,065.40
  5. Step 5: Solve for x
    x = 227,556,065.40/23,882.40
  6. Step 6: Final answer
    x = 9,528.19

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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.