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Finding the Fourth Proportional to 27,647.22, 38,151.74 and 17,426.41

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Solution

The fourth proportional to 27,647.22, 38,151.74 and 17,426.41 is: 24,047.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,647.22 : 38,151.74 = 17,426.41 : x
  2. Step 2: Convert to fraction form
    27,647.22/38,151.74 = 17,426.41/x
  3. Step 3: Cross multiply
    27,647.22x = 38,151.74 × 17,426.41
  4. Step 4: Simplify right side
    27,647.22x = 664,847,811.64
  5. Step 5: Solve for x
    x = 664,847,811.64/27,647.22
  6. Step 6: Final answer
    x = 24,047.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.