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Finding the Fourth Proportional to 13,617.50, 18,791.21 and 7,649.72

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Solution

The fourth proportional to 13,617.50, 18,791.21 and 7,649.72 is: 10,556.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,617.50 : 18,791.21 = 7,649.72 : x
  2. Step 2: Convert to fraction form
    13,617.50/18,791.21 = 7,649.72/x
  3. Step 3: Cross multiply
    13,617.50x = 18,791.21 × 7,649.72
  4. Step 4: Simplify right side
    13,617.50x = 143,747,362.76
  5. Step 5: Solve for x
    x = 143,747,362.76/13,617.50
  6. Step 6: Final answer
    x = 10,556.08

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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.