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Finding the Fourth Proportional to 27,406.38, 41,113.86 and 11,611.46

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Solution

The fourth proportional to 27,406.38, 41,113.86 and 11,611.46 is: 17,419.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,406.38 : 41,113.86 = 11,611.46 : x
  2. Step 2: Convert to fraction form
    27,406.38/41,113.86 = 11,611.46/x
  3. Step 3: Cross multiply
    27,406.38x = 41,113.86 × 11,611.46
  4. Step 4: Simplify right side
    27,406.38x = 477,391,735.27
  5. Step 5: Solve for x
    x = 477,391,735.27/27,406.38
  6. Step 6: Final answer
    x = 17,419.00

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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.