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Finding the Fourth Proportional to 12,716.28, 19,045.26 and 11,997

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Solution

The fourth proportional to 12,716.28, 19,045.26 and 11,997 is: 17,967.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716.28 : 19,045.26 = 11,997 : x
  2. Step 2: Convert to fraction form
    12,716.28/19,045.26 = 11,997/x
  3. Step 3: Cross multiply
    12,716.28x = 19,045.26 × 11,997
  4. Step 4: Simplify right side
    12,716.28x = 228,485,984.22
  5. Step 5: Solve for x
    x = 228,485,984.22/12,716.28
  6. Step 6: Final answer
    x = 17,967.99

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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.