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Finding the Fourth Proportional to 12,447.36, 17,164.17 and 7,971.30

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Solution

The fourth proportional to 12,447.36, 17,164.17 and 7,971.30 is: 10,991.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,447.36 : 17,164.17 = 7,971.30 : x
  2. Step 2: Convert to fraction form
    12,447.36/17,164.17 = 7,971.30/x
  3. Step 3: Cross multiply
    12,447.36x = 17,164.17 × 7,971.30
  4. Step 4: Simplify right side
    12,447.36x = 136,820,748.32
  5. Step 5: Solve for x
    x = 136,820,748.32/12,447.36
  6. Step 6: Final answer
    x = 10,991.95

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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.