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Finding the Fourth Proportional to 12,353.67, 18,537.89 and 11,348.70

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Solution

The fourth proportional to 12,353.67, 18,537.89 and 11,348.70 is: 17,029.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,353.67 : 18,537.89 = 11,348.70 : x
  2. Step 2: Convert to fraction form
    12,353.67/18,537.89 = 11,348.70/x
  3. Step 3: Cross multiply
    12,353.67x = 18,537.89 × 11,348.70
  4. Step 4: Simplify right side
    12,353.67x = 210,380,895.50
  5. Step 5: Solve for x
    x = 210,380,895.50/12,353.67
  6. Step 6: Final answer
    x = 17,029.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.