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Finding the Fourth Proportional to 12,996.88, 19,474.84 and 7,796.24

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Solution

The fourth proportional to 12,996.88, 19,474.84 and 7,796.24 is: 11,682.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,996.88 : 19,474.84 = 7,796.24 : x
  2. Step 2: Convert to fraction form
    12,996.88/19,474.84 = 7,796.24/x
  3. Step 3: Cross multiply
    12,996.88x = 19,474.84 × 7,796.24
  4. Step 4: Simplify right side
    12,996.88x = 151,830,526.60
  5. Step 5: Solve for x
    x = 151,830,526.60/12,996.88
  6. Step 6: Final answer
    x = 11,682.07

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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.