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Finding the Fourth Proportional to 12,325.50, 18,481.76 and 6,085.26

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Solution

The fourth proportional to 12,325.50, 18,481.76 and 6,085.26 is: 9,124.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,325.50 : 18,481.76 = 6,085.26 : x
  2. Step 2: Convert to fraction form
    12,325.50/18,481.76 = 6,085.26/x
  3. Step 3: Cross multiply
    12,325.50x = 18,481.76 × 6,085.26
  4. Step 4: Simplify right side
    12,325.50x = 112,466,314.86
  5. Step 5: Solve for x
    x = 112,466,314.86/12,325.50
  6. Step 6: Final answer
    x = 9,124.69

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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.