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Finding the Fourth Proportional to 27,600.10, 41,400.15 and 6,823.60

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Solution

The fourth proportional to 27,600.10, 41,400.15 and 6,823.60 is: 10,235.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,600.10 : 41,400.15 = 6,823.60 : x
  2. Step 2: Convert to fraction form
    27,600.10/41,400.15 = 6,823.60/x
  3. Step 3: Cross multiply
    27,600.10x = 41,400.15 × 6,823.60
  4. Step 4: Simplify right side
    27,600.10x = 282,498,063.54
  5. Step 5: Solve for x
    x = 282,498,063.54/27,600.10
  6. Step 6: Final answer
    x = 10,235.40

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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.