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Finding the Fourth Proportional to 27,415.26, 41,122.76 and 6,638.76

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Solution

The fourth proportional to 27,415.26, 41,122.76 and 6,638.76 is: 9,958.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,415.26 : 41,122.76 = 6,638.76 : x
  2. Step 2: Convert to fraction form
    27,415.26/41,122.76 = 6,638.76/x
  3. Step 3: Cross multiply
    27,415.26x = 41,122.76 × 6,638.76
  4. Step 4: Simplify right side
    27,415.26x = 273,004,100.98
  5. Step 5: Solve for x
    x = 273,004,100.98/27,415.26
  6. Step 6: Final answer
    x = 9,958.11

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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.