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Finding the Fourth Proportional to 12,832.50, 17,708.85 and 6,944.50

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Solution

The fourth proportional to 12,832.50, 17,708.85 and 6,944.50 is: 9,583.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.50 : 17,708.85 = 6,944.50 : x
  2. Step 2: Convert to fraction form
    12,832.50/17,708.85 = 6,944.50/x
  3. Step 3: Cross multiply
    12,832.50x = 17,708.85 × 6,944.50
  4. Step 4: Simplify right side
    12,832.50x = 122,979,108.83
  5. Step 5: Solve for x
    x = 122,979,108.83/12,832.50
  6. Step 6: Final answer
    x = 9,583.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.