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Finding the Fourth Proportional to 13,687.76, 20,531.64 and 5,474

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Solution

The fourth proportional to 13,687.76, 20,531.64 and 5,474 is: 8,211

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,687.76 : 20,531.64 = 5,474 : x
  2. Step 2: Convert to fraction form
    13,687.76/20,531.64 = 5,474/x
  3. Step 3: Cross multiply
    13,687.76x = 20,531.64 × 5,474
  4. Step 4: Simplify right side
    13,687.76x = 112,390,197.36
  5. Step 5: Solve for x
    x = 112,390,197.36/13,687.76
  6. Step 6: Final answer
    x = 8,211

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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.