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Finding the Fourth Proportional to 12,348.40, 18,542.40 and 11,438.80

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Solution

The fourth proportional to 12,348.40, 18,542.40 and 11,438.80 is: 17,176.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,348.40 : 18,542.40 = 11,438.80 : x
  2. Step 2: Convert to fraction form
    12,348.40/18,542.40 = 11,438.80/x
  3. Step 3: Cross multiply
    12,348.40x = 18,542.40 × 11,438.80
  4. Step 4: Simplify right side
    12,348.40x = 212,102,805.12
  5. Step 5: Solve for x
    x = 212,102,805.12/12,348.40
  6. Step 6: Final answer
    x = 17,176.54

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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.