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Finding the Fourth Proportional to 23,575.56, 35,362.46 and 7,993.20

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Solution

The fourth proportional to 23,575.56, 35,362.46 and 7,993.20 is: 11,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,575.56 : 35,362.46 = 7,993.20 : x
  2. Step 2: Convert to fraction form
    23,575.56/35,362.46 = 7,993.20/x
  3. Step 3: Cross multiply
    23,575.56x = 35,362.46 × 7,993.20
  4. Step 4: Simplify right side
    23,575.56x = 282,659,215.27
  5. Step 5: Solve for x
    x = 282,659,215.27/23,575.56
  6. Step 6: Final answer
    x = 11,989.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.