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Finding the Fourth Proportional to 27,649.40, 41,439.45 and 11,835.90

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Solution

The fourth proportional to 27,649.40, 41,439.45 and 11,835.90 is: 17,739.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,649.40 : 41,439.45 = 11,835.90 : x
  2. Step 2: Convert to fraction form
    27,649.40/41,439.45 = 11,835.90/x
  3. Step 3: Cross multiply
    27,649.40x = 41,439.45 × 11,835.90
  4. Step 4: Simplify right side
    27,649.40x = 490,473,186.26
  5. Step 5: Solve for x
    x = 490,473,186.26/27,649.40
  6. Step 6: Final answer
    x = 17,739.02

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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.