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Finding the Fourth Proportional to 13,728.41, 20,543.40 and 11,885.87

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Solution

The fourth proportional to 13,728.41, 20,543.40 and 11,885.87 is: 17,786.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.41 : 20,543.40 = 11,885.87 : x
  2. Step 2: Convert to fraction form
    13,728.41/20,543.40 = 11,885.87/x
  3. Step 3: Cross multiply
    13,728.41x = 20,543.40 × 11,885.87
  4. Step 4: Simplify right side
    13,728.41x = 244,176,079.04
  5. Step 5: Solve for x
    x = 244,176,079.04/13,728.41
  6. Step 6: Final answer
    x = 17,786.19

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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.