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Finding the Fourth Proportional to 27,992.60, 41,976.30 and 8,264.36

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Solution

The fourth proportional to 27,992.60, 41,976.30 and 8,264.36 is: 12,392.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,992.60 : 41,976.30 = 8,264.36 : x
  2. Step 2: Convert to fraction form
    27,992.60/41,976.30 = 8,264.36/x
  3. Step 3: Cross multiply
    27,992.60x = 41,976.30 × 8,264.36
  4. Step 4: Simplify right side
    27,992.60x = 346,907,254.67
  5. Step 5: Solve for x
    x = 346,907,254.67/27,992.60
  6. Step 6: Final answer
    x = 12,392.82

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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.