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Finding the Fourth Proportional to 23,644.82, 35,468.37 and 9,597.62

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Solution

The fourth proportional to 23,644.82, 35,468.37 and 9,597.62 is: 14,396.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,644.82 : 35,468.37 = 9,597.62 : x
  2. Step 2: Convert to fraction form
    23,644.82/35,468.37 = 9,597.62/x
  3. Step 3: Cross multiply
    23,644.82x = 35,468.37 × 9,597.62
  4. Step 4: Simplify right side
    23,644.82x = 340,411,759.94
  5. Step 5: Solve for x
    x = 340,411,759.94/23,644.82
  6. Step 6: Final answer
    x = 14,396.89

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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.