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Finding the Fourth Proportional to 13,462.21, 20,196.51 and 4,228.21

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Solution

The fourth proportional to 13,462.21, 20,196.51 and 4,228.21 is: 6,343.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462.21 : 20,196.51 = 4,228.21 : x
  2. Step 2: Convert to fraction form
    13,462.21/20,196.51 = 4,228.21/x
  3. Step 3: Cross multiply
    13,462.21x = 20,196.51 × 4,228.21
  4. Step 4: Simplify right side
    13,462.21x = 85,395,085.55
  5. Step 5: Solve for x
    x = 85,395,085.55/13,462.21
  6. Step 6: Final answer
    x = 6,343.32

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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.