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Finding the Fourth Proportional to 11,224.97, 16,842.30 and 6,024.77

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Solution

The fourth proportional to 11,224.97, 16,842.30 and 6,024.77 is: 9,039.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,224.97 : 16,842.30 = 6,024.77 : x
  2. Step 2: Convert to fraction form
    11,224.97/16,842.30 = 6,024.77/x
  3. Step 3: Cross multiply
    11,224.97x = 16,842.30 × 6,024.77
  4. Step 4: Simplify right side
    11,224.97x = 101,470,899.56
  5. Step 5: Solve for x
    x = 101,470,899.56/11,224.97
  6. Step 6: Final answer
    x = 9,039.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.