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Finding the Fourth Proportional to 13,029.66, 19,544.48 and 3,669.67

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Solution

The fourth proportional to 13,029.66, 19,544.48 and 3,669.67 is: 5,504.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.66 : 19,544.48 = 3,669.67 : x
  2. Step 2: Convert to fraction form
    13,029.66/19,544.48 = 3,669.67/x
  3. Step 3: Cross multiply
    13,029.66x = 19,544.48 × 3,669.67
  4. Step 4: Simplify right side
    13,029.66x = 71,721,791.92
  5. Step 5: Solve for x
    x = 71,721,791.92/13,029.66
  6. Step 6: Final answer
    x = 5,504.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.