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Finding the Fourth Proportional to 23,802.48, 35,704.17 and 8,004.59

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Solution

The fourth proportional to 23,802.48, 35,704.17 and 8,004.59 is: 12,007.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,802.48 : 35,704.17 = 8,004.59 : x
  2. Step 2: Convert to fraction form
    23,802.48/35,704.17 = 8,004.59/x
  3. Step 3: Cross multiply
    23,802.48x = 35,704.17 × 8,004.59
  4. Step 4: Simplify right side
    23,802.48x = 285,797,063.62
  5. Step 5: Solve for x
    x = 285,797,063.62/23,802.48
  6. Step 6: Final answer
    x = 12,007.03

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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.