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Finding the Fourth Proportional to 13,175.51, 19,735.79 and 6,161.58

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Solution

The fourth proportional to 13,175.51, 19,735.79 and 6,161.58 is: 9,229.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,175.51 : 19,735.79 = 6,161.58 : x
  2. Step 2: Convert to fraction form
    13,175.51/19,735.79 = 6,161.58/x
  3. Step 3: Cross multiply
    13,175.51x = 19,735.79 × 6,161.58
  4. Step 4: Simplify right side
    13,175.51x = 121,603,618.14
  5. Step 5: Solve for x
    x = 121,603,618.14/13,175.51
  6. Step 6: Final answer
    x = 9,229.52

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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.