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Finding the Fourth Proportional to 27,817.58, 41,728.06 and 9,099.59

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Solution

The fourth proportional to 27,817.58, 41,728.06 and 9,099.59 is: 13,649.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,817.58 : 41,728.06 = 9,099.59 : x
  2. Step 2: Convert to fraction form
    27,817.58/41,728.06 = 9,099.59/x
  3. Step 3: Cross multiply
    27,817.58x = 41,728.06 × 9,099.59
  4. Step 4: Simplify right side
    27,817.58x = 379,708,274.95
  5. Step 5: Solve for x
    x = 379,708,274.95/27,817.58
  6. Step 6: Final answer
    x = 13,649.94

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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.