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Finding the Fourth Proportional to 23,642.48, 35,451.62 and 7,841.80

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Solution

The fourth proportional to 23,642.48, 35,451.62 and 7,841.80 is: 11,758.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,642.48 : 35,451.62 = 7,841.80 : x
  2. Step 2: Convert to fraction form
    23,642.48/35,451.62 = 7,841.80/x
  3. Step 3: Cross multiply
    23,642.48x = 35,451.62 × 7,841.80
  4. Step 4: Simplify right side
    23,642.48x = 278,004,513.72
  5. Step 5: Solve for x
    x = 278,004,513.72/23,642.48
  6. Step 6: Final answer
    x = 11,758.69

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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.