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Finding the Fourth Proportional to 23,838.36, 35,761.44 and 9,794.64

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Solution

The fourth proportional to 23,838.36, 35,761.44 and 9,794.64 is: 14,693.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,838.36 : 35,761.44 = 9,794.64 : x
  2. Step 2: Convert to fraction form
    23,838.36/35,761.44 = 9,794.64/x
  3. Step 3: Cross multiply
    23,838.36x = 35,761.44 × 9,794.64
  4. Step 4: Simplify right side
    23,838.36x = 350,270,430.68
  5. Step 5: Solve for x
    x = 350,270,430.68/23,838.36
  6. Step 6: Final answer
    x = 14,693.56

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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.