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Finding the Fourth Proportional to 13,323.44, 18,388.68 and 7,734.80

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Solution

The fourth proportional to 13,323.44, 18,388.68 and 7,734.80 is: 10,675.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,323.44 : 18,388.68 = 7,734.80 : x
  2. Step 2: Convert to fraction form
    13,323.44/18,388.68 = 7,734.80/x
  3. Step 3: Cross multiply
    13,323.44x = 18,388.68 × 7,734.80
  4. Step 4: Simplify right side
    13,323.44x = 142,232,762.06
  5. Step 5: Solve for x
    x = 142,232,762.06/13,323.44
  6. Step 6: Final answer
    x = 10,675.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.