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Finding the Fourth Proportional to 17,782.72, 24,550.40 and 11,822.56

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Solution

The fourth proportional to 17,782.72, 24,550.40 and 11,822.56 is: 16,321.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.72 : 24,550.40 = 11,822.56 : x
  2. Step 2: Convert to fraction form
    17,782.72/24,550.40 = 11,822.56/x
  3. Step 3: Cross multiply
    17,782.72x = 24,550.40 × 11,822.56
  4. Step 4: Simplify right side
    17,782.72x = 290,248,577.02
  5. Step 5: Solve for x
    x = 290,248,577.02/17,782.72
  6. Step 6: Final answer
    x = 16,321.94

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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.