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Finding the Fourth Proportional to 12,075.20, 16,659.84 and 6,769.28

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Solution

The fourth proportional to 12,075.20, 16,659.84 and 6,769.28 is: 9,339.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,075.20 : 16,659.84 = 6,769.28 : x
  2. Step 2: Convert to fraction form
    12,075.20/16,659.84 = 6,769.28/x
  3. Step 3: Cross multiply
    12,075.20x = 16,659.84 × 6,769.28
  4. Step 4: Simplify right side
    12,075.20x = 112,775,121.72
  5. Step 5: Solve for x
    x = 112,775,121.72/12,075.20
  6. Step 6: Final answer
    x = 9,339.40

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