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Finding the Fourth Proportional to 12,911.38, 17,817.05 and 7,245.42

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Solution

The fourth proportional to 12,911.38, 17,817.05 and 7,245.42 is: 9,998.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,911.38 : 17,817.05 = 7,245.42 : x
  2. Step 2: Convert to fraction form
    12,911.38/17,817.05 = 7,245.42/x
  3. Step 3: Cross multiply
    12,911.38x = 17,817.05 × 7,245.42
  4. Step 4: Simplify right side
    12,911.38x = 129,092,010.41
  5. Step 5: Solve for x
    x = 129,092,010.41/12,911.38
  6. Step 6: Final answer
    x = 9,998.31

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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.