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Finding the Fourth Proportional to 13,992.67, 19,311.56 and 8,024.33

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Solution

The fourth proportional to 13,992.67, 19,311.56 and 8,024.33 is: 11,074.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992.67 : 19,311.56 = 8,024.33 : x
  2. Step 2: Convert to fraction form
    13,992.67/19,311.56 = 8,024.33/x
  3. Step 3: Cross multiply
    13,992.67x = 19,311.56 × 8,024.33
  4. Step 4: Simplify right side
    13,992.67x = 154,962,398.59
  5. Step 5: Solve for x
    x = 154,962,398.59/13,992.67
  6. Step 6: Final answer
    x = 11,074.54

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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.