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Finding the Fourth Proportional to 38,401.39, 57,628 and 13,441.64

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Solution

The fourth proportional to 38,401.39, 57,628 and 13,441.64 is: 20,171.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,401.39 : 57,628 = 13,441.64 : x
  2. Step 2: Convert to fraction form
    38,401.39/57,628 = 13,441.64/x
  3. Step 3: Cross multiply
    38,401.39x = 57,628 × 13,441.64
  4. Step 4: Simplify right side
    38,401.39x = 774,614,829.92
  5. Step 5: Solve for x
    x = 774,614,829.92/38,401.39
  6. Step 6: Final answer
    x = 20,171.53

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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.