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Finding the Fourth Proportional to 11,796.80, 17,721.60 and 9,852.80

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Solution

The fourth proportional to 11,796.80, 17,721.60 and 9,852.80 is: 14,801.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.80 : 17,721.60 = 9,852.80 : x
  2. Step 2: Convert to fraction form
    11,796.80/17,721.60 = 9,852.80/x
  3. Step 3: Cross multiply
    11,796.80x = 17,721.60 × 9,852.80
  4. Step 4: Simplify right side
    11,796.80x = 174,607,380.48
  5. Step 5: Solve for x
    x = 174,607,380.48/11,796.80
  6. Step 6: Final answer
    x = 14,801.25

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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.