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Finding the Fourth Proportional to 23,856.72, 35,785.40 and 7,216.92

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Solution

The fourth proportional to 23,856.72, 35,785.40 and 7,216.92 is: 10,825.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,856.72 : 35,785.40 = 7,216.92 : x
  2. Step 2: Convert to fraction form
    23,856.72/35,785.40 = 7,216.92/x
  3. Step 3: Cross multiply
    23,856.72x = 35,785.40 × 7,216.92
  4. Step 4: Simplify right side
    23,856.72x = 258,260,368.97
  5. Step 5: Solve for x
    x = 258,260,368.97/23,856.72
  6. Step 6: Final answer
    x = 10,825.48

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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.