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Finding the Fourth Proportional to 13,741.38, 18,951.41 and 10,562.38

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Solution

The fourth proportional to 13,741.38, 18,951.41 and 10,562.38 is: 14,567.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,741.38 : 18,951.41 = 10,562.38 : x
  2. Step 2: Convert to fraction form
    13,741.38/18,951.41 = 10,562.38/x
  3. Step 3: Cross multiply
    13,741.38x = 18,951.41 × 10,562.38
  4. Step 4: Simplify right side
    13,741.38x = 200,171,993.96
  5. Step 5: Solve for x
    x = 200,171,993.96/13,741.38
  6. Step 6: Final answer
    x = 14,567.10

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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.