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Finding the Fourth Proportional to 12,820.80, 19,231.20 and 8,443.20

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Solution

The fourth proportional to 12,820.80, 19,231.20 and 8,443.20 is: 12,664.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.80 : 19,231.20 = 8,443.20 : x
  2. Step 2: Convert to fraction form
    12,820.80/19,231.20 = 8,443.20/x
  3. Step 3: Cross multiply
    12,820.80x = 19,231.20 × 8,443.20
  4. Step 4: Simplify right side
    12,820.80x = 162,372,867.84
  5. Step 5: Solve for x
    x = 162,372,867.84/12,820.80
  6. Step 6: Final answer
    x = 12,664.80

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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.