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Finding the Fourth Proportional to 16,021.56, 24,029.75 and 5,491.15

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Solution

The fourth proportional to 16,021.56, 24,029.75 and 5,491.15 is: 8,235.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,021.56 : 24,029.75 = 5,491.15 : x
  2. Step 2: Convert to fraction form
    16,021.56/24,029.75 = 5,491.15/x
  3. Step 3: Cross multiply
    16,021.56x = 24,029.75 × 5,491.15
  4. Step 4: Simplify right side
    16,021.56x = 131,950,964.29
  5. Step 5: Solve for x
    x = 131,950,964.29/16,021.56
  6. Step 6: Final answer
    x = 8,235.84

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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.