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Finding the Fourth Proportional to 23,542.56, 35,317.44 and 7,956

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Solution

The fourth proportional to 23,542.56, 35,317.44 and 7,956 is: 11,935.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,542.56 : 35,317.44 = 7,956 : x
  2. Step 2: Convert to fraction form
    23,542.56/35,317.44 = 7,956/x
  3. Step 3: Cross multiply
    23,542.56x = 35,317.44 × 7,956
  4. Step 4: Simplify right side
    23,542.56x = 280,985,552.64
  5. Step 5: Solve for x
    x = 280,985,552.64/23,542.56
  6. Step 6: Final answer
    x = 11,935.22

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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.