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Finding the Fourth Proportional to 13,013.60, 17,967.44 and 8,770.97

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Solution

The fourth proportional to 13,013.60, 17,967.44 and 8,770.97 is: 12,109.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.60 : 17,967.44 = 8,770.97 : x
  2. Step 2: Convert to fraction form
    13,013.60/17,967.44 = 8,770.97/x
  3. Step 3: Cross multiply
    13,013.60x = 17,967.44 × 8,770.97
  4. Step 4: Simplify right side
    13,013.60x = 157,591,944.06
  5. Step 5: Solve for x
    x = 157,591,944.06/13,013.60
  6. Step 6: Final answer
    x = 12,109.79

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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.