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Finding the Fourth Proportional to 12,171.40, 18,256.99 and 3,851.43

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Solution

The fourth proportional to 12,171.40, 18,256.99 and 3,851.43 is: 5,777.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.40 : 18,256.99 = 3,851.43 : x
  2. Step 2: Convert to fraction form
    12,171.40/18,256.99 = 3,851.43/x
  3. Step 3: Cross multiply
    12,171.40x = 18,256.99 × 3,851.43
  4. Step 4: Simplify right side
    12,171.40x = 70,315,519.00
  5. Step 5: Solve for x
    x = 70,315,519.00/12,171.40
  6. Step 6: Final answer
    x = 5,777.11

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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.