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Finding the Fourth Proportional to 13,745.38, 18,962.40 and 8,438.26

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Solution

The fourth proportional to 13,745.38, 18,962.40 and 8,438.26 is: 11,640.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.38 : 18,962.40 = 8,438.26 : x
  2. Step 2: Convert to fraction form
    13,745.38/18,962.40 = 8,438.26/x
  3. Step 3: Cross multiply
    13,745.38x = 18,962.40 × 8,438.26
  4. Step 4: Simplify right side
    13,745.38x = 160,009,661.42
  5. Step 5: Solve for x
    x = 160,009,661.42/13,745.38
  6. Step 6: Final answer
    x = 11,640.98

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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.