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Finding the Fourth Proportional to 13,399.63, 20,096.70 and 5,076.78

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Solution

The fourth proportional to 13,399.63, 20,096.70 and 5,076.78 is: 7,614.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,399.63 : 20,096.70 = 5,076.78 : x
  2. Step 2: Convert to fraction form
    13,399.63/20,096.70 = 5,076.78/x
  3. Step 3: Cross multiply
    13,399.63x = 20,096.70 × 5,076.78
  4. Step 4: Simplify right side
    13,399.63x = 102,026,524.63
  5. Step 5: Solve for x
    x = 102,026,524.63/13,399.63
  6. Step 6: Final answer
    x = 7,614.13

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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.