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Finding the Fourth Proportional to 13,425.96, 20,141.82 and 5,630.28

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Solution

The fourth proportional to 13,425.96, 20,141.82 and 5,630.28 is: 8,446.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,425.96 : 20,141.82 = 5,630.28 : x
  2. Step 2: Convert to fraction form
    13,425.96/20,141.82 = 5,630.28/x
  3. Step 3: Cross multiply
    13,425.96x = 20,141.82 × 5,630.28
  4. Step 4: Simplify right side
    13,425.96x = 113,404,086.31
  5. Step 5: Solve for x
    x = 113,404,086.31/13,425.96
  6. Step 6: Final answer
    x = 8,446.63

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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.