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Finding the Fourth Proportional to 13,671.44, 20,489.28 and 13,328

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Solution

The fourth proportional to 13,671.44, 20,489.28 and 13,328 is: 19,974.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671.44 : 20,489.28 = 13,328 : x
  2. Step 2: Convert to fraction form
    13,671.44/20,489.28 = 13,328/x
  3. Step 3: Cross multiply
    13,671.44x = 20,489.28 × 13,328
  4. Step 4: Simplify right side
    13,671.44x = 273,081,123.84
  5. Step 5: Solve for x
    x = 273,081,123.84/13,671.44
  6. Step 6: Final answer
    x = 19,974.57

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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.