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Finding the Fourth Proportional to 12,941.38, 17,835.42 and 9,398.44

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Solution

The fourth proportional to 12,941.38, 17,835.42 and 9,398.44 is: 12,952.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,941.38 : 17,835.42 = 9,398.44 : x
  2. Step 2: Convert to fraction form
    12,941.38/17,835.42 = 9,398.44/x
  3. Step 3: Cross multiply
    12,941.38x = 17,835.42 × 9,398.44
  4. Step 4: Simplify right side
    12,941.38x = 167,625,124.74
  5. Step 5: Solve for x
    x = 167,625,124.74/12,941.38
  6. Step 6: Final answer
    x = 12,952.65

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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.