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Finding the Fourth Proportional to 13,241.44, 19,866.48 and 7,084

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Solution

The fourth proportional to 13,241.44, 19,866.48 and 7,084 is: 10,628.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,241.44 : 19,866.48 = 7,084 : x
  2. Step 2: Convert to fraction form
    13,241.44/19,866.48 = 7,084/x
  3. Step 3: Cross multiply
    13,241.44x = 19,866.48 × 7,084
  4. Step 4: Simplify right side
    13,241.44x = 140,734,144.32
  5. Step 5: Solve for x
    x = 140,734,144.32/13,241.44
  6. Step 6: Final answer
    x = 10,628.31

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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.