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Finding the Fourth Proportional to 13,801.76, 20,653.38 and 11,959.18

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Solution

The fourth proportional to 13,801.76, 20,653.38 and 11,959.18 is: 17,896.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,801.76 : 20,653.38 = 11,959.18 : x
  2. Step 2: Convert to fraction form
    13,801.76/20,653.38 = 11,959.18/x
  3. Step 3: Cross multiply
    13,801.76x = 20,653.38 × 11,959.18
  4. Step 4: Simplify right side
    13,801.76x = 246,997,489.03
  5. Step 5: Solve for x
    x = 246,997,489.03/13,801.76
  6. Step 6: Final answer
    x = 17,896.09

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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.