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Finding the Fourth Proportional to 12,383.84, 18,575.69 and 3,023.91

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Solution

The fourth proportional to 12,383.84, 18,575.69 and 3,023.91 is: 4,535.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,383.84 : 18,575.69 = 3,023.91 : x
  2. Step 2: Convert to fraction form
    12,383.84/18,575.69 = 3,023.91/x
  3. Step 3: Cross multiply
    12,383.84x = 18,575.69 × 3,023.91
  4. Step 4: Simplify right side
    12,383.84x = 56,171,121.87
  5. Step 5: Solve for x
    x = 56,171,121.87/12,383.84
  6. Step 6: Final answer
    x = 4,535.84

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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.