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Finding the Fourth Proportional to 13,003.14, 17,944.31 and 7,034.82

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Solution

The fourth proportional to 13,003.14, 17,944.31 and 7,034.82 is: 9,708.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,003.14 : 17,944.31 = 7,034.82 : x
  2. Step 2: Convert to fraction form
    13,003.14/17,944.31 = 7,034.82/x
  3. Step 3: Cross multiply
    13,003.14x = 17,944.31 × 7,034.82
  4. Step 4: Simplify right side
    13,003.14x = 126,234,941.17
  5. Step 5: Solve for x
    x = 126,234,941.17/13,003.14
  6. Step 6: Final answer
    x = 9,708.03

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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.