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Finding the Fourth Proportional to 11,964.93, 16,512.36 and 9,972.03

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Solution

The fourth proportional to 11,964.93, 16,512.36 and 9,972.03 is: 13,762.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964.93 : 16,512.36 = 9,972.03 : x
  2. Step 2: Convert to fraction form
    11,964.93/16,512.36 = 9,972.03/x
  3. Step 3: Cross multiply
    11,964.93x = 16,512.36 × 9,972.03
  4. Step 4: Simplify right side
    11,964.93x = 164,661,749.29
  5. Step 5: Solve for x
    x = 164,661,749.29/11,964.93
  6. Step 6: Final answer
    x = 13,762.03

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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.