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Finding the Fourth Proportional to 16,209, 24,324.90 and 5,821.08

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Solution

The fourth proportional to 16,209, 24,324.90 and 5,821.08 is: 8,735.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,209 : 24,324.90 = 5,821.08 : x
  2. Step 2: Convert to fraction form
    16,209/24,324.90 = 5,821.08/x
  3. Step 3: Cross multiply
    16,209x = 24,324.90 × 5,821.08
  4. Step 4: Simplify right side
    16,209x = 141,597,188.89
  5. Step 5: Solve for x
    x = 141,597,188.89/16,209
  6. Step 6: Final answer
    x = 8,735.71

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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.