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Finding the Fourth Proportional to 12,984.56, 17,919.72 and 7,395.44

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Solution

The fourth proportional to 12,984.56, 17,919.72 and 7,395.44 is: 10,206.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984.56 : 17,919.72 = 7,395.44 : x
  2. Step 2: Convert to fraction form
    12,984.56/17,919.72 = 7,395.44/x
  3. Step 3: Cross multiply
    12,984.56x = 17,919.72 × 7,395.44
  4. Step 4: Simplify right side
    12,984.56x = 132,524,214.08
  5. Step 5: Solve for x
    x = 132,524,214.08/12,984.56
  6. Step 6: Final answer
    x = 10,206.29

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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.