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Finding the Fourth Proportional to 23,758.82, 35,635.50 and 6,230.04

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Solution

The fourth proportional to 23,758.82, 35,635.50 and 6,230.04 is: 9,344.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,758.82 : 35,635.50 = 6,230.04 : x
  2. Step 2: Convert to fraction form
    23,758.82/35,635.50 = 6,230.04/x
  3. Step 3: Cross multiply
    23,758.82x = 35,635.50 × 6,230.04
  4. Step 4: Simplify right side
    23,758.82x = 222,010,590.42
  5. Step 5: Solve for x
    x = 222,010,590.42/23,758.82
  6. Step 6: Final answer
    x = 9,344.34

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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.