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Finding the Fourth Proportional to 12,296, 16,968.84 and 6,707.36

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Solution

The fourth proportional to 12,296, 16,968.84 and 6,707.36 is: 9,256.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296 : 16,968.84 = 6,707.36 : x
  2. Step 2: Convert to fraction form
    12,296/16,968.84 = 6,707.36/x
  3. Step 3: Cross multiply
    12,296x = 16,968.84 × 6,707.36
  4. Step 4: Simplify right side
    12,296x = 113,816,118.66
  5. Step 5: Solve for x
    x = 113,816,118.66/12,296
  6. Step 6: Final answer
    x = 9,256.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.