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Finding the Fourth Proportional to 21,118, 31,675.74 and 7,968.64

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Solution

The fourth proportional to 21,118, 31,675.74 and 7,968.64 is: 11,952.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,118 : 31,675.74 = 7,968.64 : x
  2. Step 2: Convert to fraction form
    21,118/31,675.74 = 7,968.64/x
  3. Step 3: Cross multiply
    21,118x = 31,675.74 × 7,968.64
  4. Step 4: Simplify right side
    21,118x = 252,412,568.79
  5. Step 5: Solve for x
    x = 252,412,568.79/21,118
  6. Step 6: Final answer
    x = 11,952.48

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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.