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Finding the Fourth Proportional to 16,243.30, 24,369.90 and 6,878.44

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Solution

The fourth proportional to 16,243.30, 24,369.90 and 6,878.44 is: 10,319.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,243.30 : 24,369.90 = 6,878.44 : x
  2. Step 2: Convert to fraction form
    16,243.30/24,369.90 = 6,878.44/x
  3. Step 3: Cross multiply
    16,243.30x = 24,369.90 × 6,878.44
  4. Step 4: Simplify right side
    16,243.30x = 167,626,894.96
  5. Step 5: Solve for x
    x = 167,626,894.96/16,243.30
  6. Step 6: Final answer
    x = 10,319.76

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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.