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Finding the Fourth Proportional to 16,230.33, 24,327.03 and 6,864.50

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Solution

The fourth proportional to 16,230.33, 24,327.03 and 6,864.50 is: 10,288.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,230.33 : 24,327.03 = 6,864.50 : x
  2. Step 2: Convert to fraction form
    16,230.33/24,327.03 = 6,864.50/x
  3. Step 3: Cross multiply
    16,230.33x = 24,327.03 × 6,864.50
  4. Step 4: Simplify right side
    16,230.33x = 166,992,983.99
  5. Step 5: Solve for x
    x = 166,992,983.99/16,230.33
  6. Step 6: Final answer
    x = 10,288.95

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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.