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Finding the Fourth Proportional to 13,174.86, 19,736.37 and 8,729.58

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Solution

The fourth proportional to 13,174.86, 19,736.37 and 8,729.58 is: 13,077.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,174.86 : 19,736.37 = 8,729.58 : x
  2. Step 2: Convert to fraction form
    13,174.86/19,736.37 = 8,729.58/x
  3. Step 3: Cross multiply
    13,174.86x = 19,736.37 × 8,729.58
  4. Step 4: Simplify right side
    13,174.86x = 172,290,220.82
  5. Step 5: Solve for x
    x = 172,290,220.82/13,174.86
  6. Step 6: Final answer
    x = 13,077.20

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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.