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Finding the Fourth Proportional to 12,081.54, 18,112.23 and 8,391

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Solution

The fourth proportional to 12,081.54, 18,112.23 and 8,391 is: 12,579.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,081.54 : 18,112.23 = 8,391 : x
  2. Step 2: Convert to fraction form
    12,081.54/18,112.23 = 8,391/x
  3. Step 3: Cross multiply
    12,081.54x = 18,112.23 × 8,391
  4. Step 4: Simplify right side
    12,081.54x = 151,979,721.93
  5. Step 5: Solve for x
    x = 151,979,721.93/12,081.54
  6. Step 6: Final answer
    x = 12,579.50

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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.