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Finding the Fourth Proportional to 12,257.40, 18,377.10 and 4,858.20

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Solution

The fourth proportional to 12,257.40, 18,377.10 and 4,858.20 is: 7,283.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.40 : 18,377.10 = 4,858.20 : x
  2. Step 2: Convert to fraction form
    12,257.40/18,377.10 = 4,858.20/x
  3. Step 3: Cross multiply
    12,257.40x = 18,377.10 × 4,858.20
  4. Step 4: Simplify right side
    12,257.40x = 89,279,627.22
  5. Step 5: Solve for x
    x = 89,279,627.22/12,257.40
  6. Step 6: Final answer
    x = 7,283.73

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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.