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Finding the Fourth Proportional to 12,797.20, 19,200.57 and 5,775.13

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Solution

The fourth proportional to 12,797.20, 19,200.57 and 5,775.13 is: 8,664.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,797.20 : 19,200.57 = 5,775.13 : x
  2. Step 2: Convert to fraction form
    12,797.20/19,200.57 = 5,775.13/x
  3. Step 3: Cross multiply
    12,797.20x = 19,200.57 × 5,775.13
  4. Step 4: Simplify right side
    12,797.20x = 110,885,787.82
  5. Step 5: Solve for x
    x = 110,885,787.82/12,797.20
  6. Step 6: Final answer
    x = 8,664.85

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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.