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Finding the Fourth Proportional to 12,729.69, 19,100.61 and 6,152.22

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Solution

The fourth proportional to 12,729.69, 19,100.61 and 6,152.22 is: 9,231.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,729.69 : 19,100.61 = 6,152.22 : x
  2. Step 2: Convert to fraction form
    12,729.69/19,100.61 = 6,152.22/x
  3. Step 3: Cross multiply
    12,729.69x = 19,100.61 × 6,152.22
  4. Step 4: Simplify right side
    12,729.69x = 117,511,154.85
  5. Step 5: Solve for x
    x = 117,511,154.85/12,729.69
  6. Step 6: Final answer
    x = 9,231.27

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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.