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Finding the Fourth Proportional to 11,968.48, 17,952.72 and 9,912.16

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Solution

The fourth proportional to 11,968.48, 17,952.72 and 9,912.16 is: 14,868.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,968.48 : 17,952.72 = 9,912.16 : x
  2. Step 2: Convert to fraction form
    11,968.48/17,952.72 = 9,912.16/x
  3. Step 3: Cross multiply
    11,968.48x = 17,952.72 × 9,912.16
  4. Step 4: Simplify right side
    11,968.48x = 177,950,233.08
  5. Step 5: Solve for x
    x = 177,950,233.08/11,968.48
  6. Step 6: Final answer
    x = 14,868.24

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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.