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Finding the Fourth Proportional to 12,853.41, 17,738.60 and 7,190.02

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Solution

The fourth proportional to 12,853.41, 17,738.60 and 7,190.02 is: 9,922.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853.41 : 17,738.60 = 7,190.02 : x
  2. Step 2: Convert to fraction form
    12,853.41/17,738.60 = 7,190.02/x
  3. Step 3: Cross multiply
    12,853.41x = 17,738.60 × 7,190.02
  4. Step 4: Simplify right side
    12,853.41x = 127,540,924.13
  5. Step 5: Solve for x
    x = 127,540,924.13/12,853.41
  6. Step 6: Final answer
    x = 9,922.73

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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.