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Finding the Fourth Proportional to 12,805.20, 19,208.10 and 4,494.78

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Solution

The fourth proportional to 12,805.20, 19,208.10 and 4,494.78 is: 6,742.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805.20 : 19,208.10 = 4,494.78 : x
  2. Step 2: Convert to fraction form
    12,805.20/19,208.10 = 4,494.78/x
  3. Step 3: Cross multiply
    12,805.20x = 19,208.10 × 4,494.78
  4. Step 4: Simplify right side
    12,805.20x = 86,336,183.72
  5. Step 5: Solve for x
    x = 86,336,183.72/12,805.20
  6. Step 6: Final answer
    x = 6,742.28

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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.