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Finding the Fourth Proportional to 12,282.01, 18,408.58 and 5,694.33

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Solution

The fourth proportional to 12,282.01, 18,408.58 and 5,694.33 is: 8,534.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.01 : 18,408.58 = 5,694.33 : x
  2. Step 2: Convert to fraction form
    12,282.01/18,408.58 = 5,694.33/x
  3. Step 3: Cross multiply
    12,282.01x = 18,408.58 × 5,694.33
  4. Step 4: Simplify right side
    12,282.01x = 104,824,529.35
  5. Step 5: Solve for x
    x = 104,824,529.35/12,282.01
  6. Step 6: Final answer
    x = 8,534.80

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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.