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Finding the Fourth Proportional to 13,672.32, 20,516.28 and 5,774.28

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Solution

The fourth proportional to 13,672.32, 20,516.28 and 5,774.28 is: 8,664.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,672.32 : 20,516.28 = 5,774.28 : x
  2. Step 2: Convert to fraction form
    13,672.32/20,516.28 = 5,774.28/x
  3. Step 3: Cross multiply
    13,672.32x = 20,516.28 × 5,774.28
  4. Step 4: Simplify right side
    13,672.32x = 118,466,745.28
  5. Step 5: Solve for x
    x = 118,466,745.28/13,672.32
  6. Step 6: Final answer
    x = 8,664.71

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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.