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Finding the Fourth Proportional to 12,941.38, 17,858.49 and 7,352.26

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Solution

The fourth proportional to 12,941.38, 17,858.49 and 7,352.26 is: 10,145.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,941.38 : 17,858.49 = 7,352.26 : x
  2. Step 2: Convert to fraction form
    12,941.38/17,858.49 = 7,352.26/x
  3. Step 3: Cross multiply
    12,941.38x = 17,858.49 × 7,352.26
  4. Step 4: Simplify right side
    12,941.38x = 131,300,261.69
  5. Step 5: Solve for x
    x = 131,300,261.69/12,941.38
  6. Step 6: Final answer
    x = 10,145.77

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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.