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Finding the Fourth Proportional to 13,488.21, 20,232.70 and 3,627.49

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Solution

The fourth proportional to 13,488.21, 20,232.70 and 3,627.49 is: 5,441.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,488.21 : 20,232.70 = 3,627.49 : x
  2. Step 2: Convert to fraction form
    13,488.21/20,232.70 = 3,627.49/x
  3. Step 3: Cross multiply
    13,488.21x = 20,232.70 × 3,627.49
  4. Step 4: Simplify right side
    13,488.21x = 73,393,916.92
  5. Step 5: Solve for x
    x = 73,393,916.92/13,488.21
  6. Step 6: Final answer
    x = 5,441.34

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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.