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Finding the Fourth Proportional to 16,078, 24,116.84 and 4,391.22

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Solution

The fourth proportional to 16,078, 24,116.84 and 4,391.22 is: 6,586.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,078 : 24,116.84 = 4,391.22 : x
  2. Step 2: Convert to fraction form
    16,078/24,116.84 = 4,391.22/x
  3. Step 3: Cross multiply
    16,078x = 24,116.84 × 4,391.22
  4. Step 4: Simplify right side
    16,078x = 105,902,350.14
  5. Step 5: Solve for x
    x = 105,902,350.14/16,078
  6. Step 6: Final answer
    x = 6,586.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.