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Finding the Fourth Proportional to 13,016.67, 19,525.24 and 4,697.31

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Solution

The fourth proportional to 13,016.67, 19,525.24 and 4,697.31 is: 7,046.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,016.67 : 19,525.24 = 4,697.31 : x
  2. Step 2: Convert to fraction form
    13,016.67/19,525.24 = 4,697.31/x
  3. Step 3: Cross multiply
    13,016.67x = 19,525.24 × 4,697.31
  4. Step 4: Simplify right side
    13,016.67x = 91,715,995.73
  5. Step 5: Solve for x
    x = 91,715,995.73/13,016.67
  6. Step 6: Final answer
    x = 7,046.04

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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.