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Finding the Fourth Proportional to 12,273.70, 18,374.10 and 8,118.40

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Solution

The fourth proportional to 12,273.70, 18,374.10 and 8,118.40 is: 12,153.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,273.70 : 18,374.10 = 8,118.40 : x
  2. Step 2: Convert to fraction form
    12,273.70/18,374.10 = 8,118.40/x
  3. Step 3: Cross multiply
    12,273.70x = 18,374.10 × 8,118.40
  4. Step 4: Simplify right side
    12,273.70x = 149,168,293.44
  5. Step 5: Solve for x
    x = 149,168,293.44/12,273.70
  6. Step 6: Final answer
    x = 12,153.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.