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Finding the Fourth Proportional to 12,633.12, 17,433.50 and 6,968.42

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Solution

The fourth proportional to 12,633.12, 17,433.50 and 6,968.42 is: 9,616.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,633.12 : 17,433.50 = 6,968.42 : x
  2. Step 2: Convert to fraction form
    12,633.12/17,433.50 = 6,968.42/x
  3. Step 3: Cross multiply
    12,633.12x = 17,433.50 × 6,968.42
  4. Step 4: Simplify right side
    12,633.12x = 121,483,893.44
  5. Step 5: Solve for x
    x = 121,483,893.44/12,633.12
  6. Step 6: Final answer
    x = 9,616.30

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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.