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Finding the Fourth Proportional to 12,381.33, 18,575.07 and 6,144.27

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Solution

The fourth proportional to 12,381.33, 18,575.07 and 6,144.27 is: 9,217.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.33 : 18,575.07 = 6,144.27 : x
  2. Step 2: Convert to fraction form
    12,381.33/18,575.07 = 6,144.27/x
  3. Step 3: Cross multiply
    12,381.33x = 18,575.07 × 6,144.27
  4. Step 4: Simplify right side
    12,381.33x = 114,130,245.35
  5. Step 5: Solve for x
    x = 114,130,245.35/12,381.33
  6. Step 6: Final answer
    x = 9,217.93

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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.