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Finding the Fourth Proportional to 12,446.38, 17,174.19 and 7,140.34

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Solution

The fourth proportional to 12,446.38, 17,174.19 and 7,140.34 is: 9,852.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.38 : 17,174.19 = 7,140.34 : x
  2. Step 2: Convert to fraction form
    12,446.38/17,174.19 = 7,140.34/x
  3. Step 3: Cross multiply
    12,446.38x = 17,174.19 × 7,140.34
  4. Step 4: Simplify right side
    12,446.38x = 122,629,555.82
  5. Step 5: Solve for x
    x = 122,629,555.82/12,446.38
  6. Step 6: Final answer
    x = 9,852.63

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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.