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Finding the Fourth Proportional to 13,749, 20,613.38 and 4,383.62

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Solution

The fourth proportional to 13,749, 20,613.38 and 4,383.62 is: 6,572.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,749 : 20,613.38 = 4,383.62 : x
  2. Step 2: Convert to fraction form
    13,749/20,613.38 = 4,383.62/x
  3. Step 3: Cross multiply
    13,749x = 20,613.38 × 4,383.62
  4. Step 4: Simplify right side
    13,749x = 90,361,224.84
  5. Step 5: Solve for x
    x = 90,361,224.84/13,749
  6. Step 6: Final answer
    x = 6,572.20

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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.