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Finding the Fourth Proportional to 27,467.86, 41,173.06 and 12,686.47

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Solution

The fourth proportional to 27,467.86, 41,173.06 and 12,686.47 is: 19,016.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,467.86 : 41,173.06 = 12,686.47 : x
  2. Step 2: Convert to fraction form
    27,467.86/41,173.06 = 12,686.47/x
  3. Step 3: Cross multiply
    27,467.86x = 41,173.06 × 12,686.47
  4. Step 4: Simplify right side
    27,467.86x = 522,340,911.23
  5. Step 5: Solve for x
    x = 522,340,911.23/27,467.86
  6. Step 6: Final answer
    x = 19,016.44

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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.