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Finding the Fourth Proportional to 13,182.34, 19,772.04 and 3,321.62

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Solution

The fourth proportional to 13,182.34, 19,772.04 and 3,321.62 is: 4,982.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182.34 : 19,772.04 = 3,321.62 : x
  2. Step 2: Convert to fraction form
    13,182.34/19,772.04 = 3,321.62/x
  3. Step 3: Cross multiply
    13,182.34x = 19,772.04 × 3,321.62
  4. Step 4: Simplify right side
    13,182.34x = 65,675,203.50
  5. Step 5: Solve for x
    x = 65,675,203.50/13,182.34
  6. Step 6: Final answer
    x = 4,982.06

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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.