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Finding the Fourth Proportional to 12,381.78, 18,575.43 and 6,145.20

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Solution

The fourth proportional to 12,381.78, 18,575.43 and 6,145.20 is: 9,219.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.78 : 18,575.43 = 6,145.20 : x
  2. Step 2: Convert to fraction form
    12,381.78/18,575.43 = 6,145.20/x
  3. Step 3: Cross multiply
    12,381.78x = 18,575.43 × 6,145.20
  4. Step 4: Simplify right side
    12,381.78x = 114,149,732.44
  5. Step 5: Solve for x
    x = 114,149,732.44/12,381.78
  6. Step 6: Final answer
    x = 9,219.17

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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.