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Finding the Fourth Proportional to 27,982.45, 41,981.34 and 8,261

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Solution

The fourth proportional to 27,982.45, 41,981.34 and 8,261 is: 12,393.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,982.45 : 41,981.34 = 8,261 : x
  2. Step 2: Convert to fraction form
    27,982.45/41,981.34 = 8,261/x
  3. Step 3: Cross multiply
    27,982.45x = 41,981.34 × 8,261
  4. Step 4: Simplify right side
    27,982.45x = 346,807,849.74
  5. Step 5: Solve for x
    x = 346,807,849.74/27,982.45
  6. Step 6: Final answer
    x = 12,393.76

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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.