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Finding the Fourth Proportional to 27,969.59, 41,954.33 and 8,261.99

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Solution

The fourth proportional to 27,969.59, 41,954.33 and 8,261.99 is: 12,392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,969.59 : 41,954.33 = 8,261.99 : x
  2. Step 2: Convert to fraction form
    27,969.59/41,954.33 = 8,261.99/x
  3. Step 3: Cross multiply
    27,969.59x = 41,954.33 × 8,261.99
  4. Step 4: Simplify right side
    27,969.59x = 346,626,045.15
  5. Step 5: Solve for x
    x = 346,626,045.15/27,969.59
  6. Step 6: Final answer
    x = 12,392.96

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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.