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Finding the Fourth Proportional to 16,242, 24,363.12 and 3,930

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Solution

The fourth proportional to 16,242, 24,363.12 and 3,930 is: 5,895.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,242 : 24,363.12 = 3,930 : x
  2. Step 2: Convert to fraction form
    16,242/24,363.12 = 3,930/x
  3. Step 3: Cross multiply
    16,242x = 24,363.12 × 3,930
  4. Step 4: Simplify right side
    16,242x = 95,747,061.60
  5. Step 5: Solve for x
    x = 95,747,061.60/16,242
  6. Step 6: Final answer
    x = 5,895.03

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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.