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Finding the Fourth Proportional to 12,729.39, 19,094.05 and 7,180.21

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Solution

The fourth proportional to 12,729.39, 19,094.05 and 7,180.21 is: 10,770.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,729.39 : 19,094.05 = 7,180.21 : x
  2. Step 2: Convert to fraction form
    12,729.39/19,094.05 = 7,180.21/x
  3. Step 3: Cross multiply
    12,729.39x = 19,094.05 × 7,180.21
  4. Step 4: Simplify right side
    12,729.39x = 137,099,288.75
  5. Step 5: Solve for x
    x = 137,099,288.75/12,729.39
  6. Step 6: Final answer
    x = 10,770.30

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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.