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Finding the Fourth Proportional to 23,764.56, 35,647.11 and 6,236.16

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Solution

The fourth proportional to 23,764.56, 35,647.11 and 6,236.16 is: 9,354.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,764.56 : 35,647.11 = 6,236.16 : x
  2. Step 2: Convert to fraction form
    23,764.56/35,647.11 = 6,236.16/x
  3. Step 3: Cross multiply
    23,764.56x = 35,647.11 × 6,236.16
  4. Step 4: Simplify right side
    23,764.56x = 222,301,081.50
  5. Step 5: Solve for x
    x = 222,301,081.50/23,764.56
  6. Step 6: Final answer
    x = 9,354.31

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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.