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Finding the Fourth Proportional to 13,936.24, 20,909.16 and 11,871.88

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Solution

The fourth proportional to 13,936.24, 20,909.16 and 11,871.88 is: 17,811.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,936.24 : 20,909.16 = 11,871.88 : x
  2. Step 2: Convert to fraction form
    13,936.24/20,909.16 = 11,871.88/x
  3. Step 3: Cross multiply
    13,936.24x = 20,909.16 × 11,871.88
  4. Step 4: Simplify right side
    13,936.24x = 248,231,038.42
  5. Step 5: Solve for x
    x = 248,231,038.42/13,936.24
  6. Step 6: Final answer
    x = 17,811.91

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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.