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Finding the Fourth Proportional to 11,820.80, 17,692.80 and 9,209.60

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Solution

The fourth proportional to 11,820.80, 17,692.80 and 9,209.60 is: 13,784.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820.80 : 17,692.80 = 9,209.60 : x
  2. Step 2: Convert to fraction form
    11,820.80/17,692.80 = 9,209.60/x
  3. Step 3: Cross multiply
    11,820.80x = 17,692.80 × 9,209.60
  4. Step 4: Simplify right side
    11,820.80x = 162,943,610.88
  5. Step 5: Solve for x
    x = 162,943,610.88/11,820.80
  6. Step 6: Final answer
    x = 13,784.48

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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.