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Finding the Fourth Proportional to 23,882.26, 35,830.62 and 9,643.42

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Solution

The fourth proportional to 23,882.26, 35,830.62 and 9,643.42 is: 14,468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,882.26 : 35,830.62 = 9,643.42 : x
  2. Step 2: Convert to fraction form
    23,882.26/35,830.62 = 9,643.42/x
  3. Step 3: Cross multiply
    23,882.26x = 35,830.62 × 9,643.42
  4. Step 4: Simplify right side
    23,882.26x = 345,529,717.52
  5. Step 5: Solve for x
    x = 345,529,717.52/23,882.26
  6. Step 6: Final answer
    x = 14,468.05

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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.