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Finding the Fourth Proportional to 12,962.38, 17,890.65 and 8,418.71

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Solution

The fourth proportional to 12,962.38, 17,890.65 and 8,418.71 is: 11,619.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,962.38 : 17,890.65 = 8,418.71 : x
  2. Step 2: Convert to fraction form
    12,962.38/17,890.65 = 8,418.71/x
  3. Step 3: Cross multiply
    12,962.38x = 17,890.65 × 8,418.71
  4. Step 4: Simplify right side
    12,962.38x = 150,616,151.97
  5. Step 5: Solve for x
    x = 150,616,151.97/12,962.38
  6. Step 6: Final answer
    x = 11,619.49

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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.