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Finding the Fourth Proportional to 23,856.74, 35,786.36 and 7,216.35

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Solution

The fourth proportional to 23,856.74, 35,786.36 and 7,216.35 is: 10,824.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,856.74 : 35,786.36 = 7,216.35 : x
  2. Step 2: Convert to fraction form
    23,856.74/35,786.36 = 7,216.35/x
  3. Step 3: Cross multiply
    23,856.74x = 35,786.36 × 7,216.35
  4. Step 4: Simplify right side
    23,856.74x = 258,246,917.03
  5. Step 5: Solve for x
    x = 258,246,917.03/23,856.74
  6. Step 6: Final answer
    x = 10,824.90

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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.