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Finding the Fourth Proportional to 12,976.38, 17,907.51 and 7,387.74

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Solution

The fourth proportional to 12,976.38, 17,907.51 and 7,387.74 is: 10,195.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,976.38 : 17,907.51 = 7,387.74 : x
  2. Step 2: Convert to fraction form
    12,976.38/17,907.51 = 7,387.74/x
  3. Step 3: Cross multiply
    12,976.38x = 17,907.51 × 7,387.74
  4. Step 4: Simplify right side
    12,976.38x = 132,296,027.93
  5. Step 5: Solve for x
    x = 132,296,027.93/12,976.38
  6. Step 6: Final answer
    x = 10,195.14

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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.