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Finding the Fourth Proportional to 19,634.44, 27,085.20 and 11,671

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Solution

The fourth proportional to 19,634.44, 27,085.20 and 11,671 is: 16,099.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,634.44 : 27,085.20 = 11,671 : x
  2. Step 2: Convert to fraction form
    19,634.44/27,085.20 = 11,671/x
  3. Step 3: Cross multiply
    19,634.44x = 27,085.20 × 11,671
  4. Step 4: Simplify right side
    19,634.44x = 316,111,369.20
  5. Step 5: Solve for x
    x = 316,111,369.20/19,634.44
  6. Step 6: Final answer
    x = 16,099.84

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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.