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Finding the Fourth Proportional to 12,768.33, 19,157.77 and 5,648.79

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Solution

The fourth proportional to 12,768.33, 19,157.77 and 5,648.79 is: 8,475.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768.33 : 19,157.77 = 5,648.79 : x
  2. Step 2: Convert to fraction form
    12,768.33/19,157.77 = 5,648.79/x
  3. Step 3: Cross multiply
    12,768.33x = 19,157.77 × 5,648.79
  4. Step 4: Simplify right side
    12,768.33x = 108,218,158.96
  5. Step 5: Solve for x
    x = 108,218,158.96/12,768.33
  6. Step 6: Final answer
    x = 8,475.51

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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.