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Finding the Fourth Proportional to 13,473.84, 20,209.92 and 6,075.28

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Solution

The fourth proportional to 13,473.84, 20,209.92 and 6,075.28 is: 9,112.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,473.84 : 20,209.92 = 6,075.28 : x
  2. Step 2: Convert to fraction form
    13,473.84/20,209.92 = 6,075.28/x
  3. Step 3: Cross multiply
    13,473.84x = 20,209.92 × 6,075.28
  4. Step 4: Simplify right side
    13,473.84x = 122,780,922.78
  5. Step 5: Solve for x
    x = 122,780,922.78/13,473.84
  6. Step 6: Final answer
    x = 9,112.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.