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Finding the Fourth Proportional to 16,912, 25,379.52 and 5,968

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Solution

The fourth proportional to 16,912, 25,379.52 and 5,968 is: 8,956.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,912 : 25,379.52 = 5,968 : x
  2. Step 2: Convert to fraction form
    16,912/25,379.52 = 5,968/x
  3. Step 3: Cross multiply
    16,912x = 25,379.52 × 5,968
  4. Step 4: Simplify right side
    16,912x = 151,464,975.36
  5. Step 5: Solve for x
    x = 151,464,975.36/16,912
  6. Step 6: Final answer
    x = 8,956.07

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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.