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Finding the Fourth Proportional to 13,408.96, 18,505.38 and 7,440.58

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Solution

The fourth proportional to 13,408.96, 18,505.38 and 7,440.58 is: 10,268.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.96 : 18,505.38 = 7,440.58 : x
  2. Step 2: Convert to fraction form
    13,408.96/18,505.38 = 7,440.58/x
  3. Step 3: Cross multiply
    13,408.96x = 18,505.38 × 7,440.58
  4. Step 4: Simplify right side
    13,408.96x = 137,690,760.32
  5. Step 5: Solve for x
    x = 137,690,760.32/13,408.96
  6. Step 6: Final answer
    x = 10,268.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.