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Finding the Fourth Proportional to 17,647.86, 24,365.38 and 11,687.56

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Solution

The fourth proportional to 17,647.86, 24,365.38 and 11,687.56 is: 16,136.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,647.86 : 24,365.38 = 11,687.56 : x
  2. Step 2: Convert to fraction form
    17,647.86/24,365.38 = 11,687.56/x
  3. Step 3: Cross multiply
    17,647.86x = 24,365.38 × 11,687.56
  4. Step 4: Simplify right side
    17,647.86x = 284,771,840.67
  5. Step 5: Solve for x
    x = 284,771,840.67/17,647.86
  6. Step 6: Final answer
    x = 16,136.34

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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.