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Finding the Fourth Proportional to 12,796.14, 17,666.37 and 8,023.17

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Solution

The fourth proportional to 12,796.14, 17,666.37 and 8,023.17 is: 11,076.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,796.14 : 17,666.37 = 8,023.17 : x
  2. Step 2: Convert to fraction form
    12,796.14/17,666.37 = 8,023.17/x
  3. Step 3: Cross multiply
    12,796.14x = 17,666.37 × 8,023.17
  4. Step 4: Simplify right side
    12,796.14x = 141,740,289.79
  5. Step 5: Solve for x
    x = 141,740,289.79/12,796.14
  6. Step 6: Final answer
    x = 11,076.80

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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.