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Finding the Fourth Proportional to 13,863.77, 20,783.33 and 5,096.63

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Solution

The fourth proportional to 13,863.77, 20,783.33 and 5,096.63 is: 7,640.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863.77 : 20,783.33 = 5,096.63 : x
  2. Step 2: Convert to fraction form
    13,863.77/20,783.33 = 5,096.63/x
  3. Step 3: Cross multiply
    13,863.77x = 20,783.33 × 5,096.63
  4. Step 4: Simplify right side
    13,863.77x = 105,924,943.18
  5. Step 5: Solve for x
    x = 105,924,943.18/13,863.77
  6. Step 6: Final answer
    x = 7,640.41

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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.