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Finding the Fourth Proportional to 12,154.41, 18,233.10 and 4,757.90

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Solution

The fourth proportional to 12,154.41, 18,233.10 and 4,757.90 is: 7,137.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.41 : 18,233.10 = 4,757.90 : x
  2. Step 2: Convert to fraction form
    12,154.41/18,233.10 = 4,757.90/x
  3. Step 3: Cross multiply
    12,154.41x = 18,233.10 × 4,757.90
  4. Step 4: Simplify right side
    12,154.41x = 86,751,175.32
  5. Step 5: Solve for x
    x = 86,751,175.32/12,154.41
  6. Step 6: Final answer
    x = 7,137.42

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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.