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Finding the Fourth Proportional to 13,887.63, 20,832.39 and 5,123.16

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Solution

The fourth proportional to 13,887.63, 20,832.39 and 5,123.16 is: 7,685.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,887.63 : 20,832.39 = 5,123.16 : x
  2. Step 2: Convert to fraction form
    13,887.63/20,832.39 = 5,123.16/x
  3. Step 3: Cross multiply
    13,887.63x = 20,832.39 × 5,123.16
  4. Step 4: Simplify right side
    13,887.63x = 106,727,667.15
  5. Step 5: Solve for x
    x = 106,727,667.15/13,887.63
  6. Step 6: Final answer
    x = 7,685.09

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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.