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Finding the Fourth Proportional to 13,017.65, 17,961.14 and 8,237.23

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Solution

The fourth proportional to 13,017.65, 17,961.14 and 8,237.23 is: 11,365.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,017.65 : 17,961.14 = 8,237.23 : x
  2. Step 2: Convert to fraction form
    13,017.65/17,961.14 = 8,237.23/x
  3. Step 3: Cross multiply
    13,017.65x = 17,961.14 × 8,237.23
  4. Step 4: Simplify right side
    13,017.65x = 147,950,016.93
  5. Step 5: Solve for x
    x = 147,950,016.93/13,017.65
  6. Step 6: Final answer
    x = 11,365.34

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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.