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Finding the Fourth Proportional to 13,457.25, 20,189.12 and 4,223.25

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Solution

The fourth proportional to 13,457.25, 20,189.12 and 4,223.25 is: 6,335.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,457.25 : 20,189.12 = 4,223.25 : x
  2. Step 2: Convert to fraction form
    13,457.25/20,189.12 = 4,223.25/x
  3. Step 3: Cross multiply
    13,457.25x = 20,189.12 × 4,223.25
  4. Step 4: Simplify right side
    13,457.25x = 85,263,679.92
  5. Step 5: Solve for x
    x = 85,263,679.92/13,457.25
  6. Step 6: Final answer
    x = 6,335.89

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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.