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Finding the Fourth Proportional to 12,779.67, 17,634.74 and 7,190.31

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Solution

The fourth proportional to 12,779.67, 17,634.74 and 7,190.31 is: 9,921.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,779.67 : 17,634.74 = 7,190.31 : x
  2. Step 2: Convert to fraction form
    12,779.67/17,634.74 = 7,190.31/x
  3. Step 3: Cross multiply
    12,779.67x = 17,634.74 × 7,190.31
  4. Step 4: Simplify right side
    12,779.67x = 126,799,211.42
  5. Step 5: Solve for x
    x = 126,799,211.42/12,779.67
  6. Step 6: Final answer
    x = 9,921.95

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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.