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Finding the Fourth Proportional to 16,219.23, 24,315.89 and 6,991.71

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Solution

The fourth proportional to 16,219.23, 24,315.89 and 6,991.71 is: 10,481.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219.23 : 24,315.89 = 6,991.71 : x
  2. Step 2: Convert to fraction form
    16,219.23/24,315.89 = 6,991.71/x
  3. Step 3: Cross multiply
    16,219.23x = 24,315.89 × 6,991.71
  4. Step 4: Simplify right side
    16,219.23x = 170,009,616.31
  5. Step 5: Solve for x
    x = 170,009,616.31/16,219.23
  6. Step 6: Final answer
    x = 10,481.98

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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.