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Finding the Fourth Proportional to 12,514.49, 18,698.22 and 12,078.40

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Solution

The fourth proportional to 12,514.49, 18,698.22 and 12,078.40 is: 18,046.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514.49 : 18,698.22 = 12,078.40 : x
  2. Step 2: Convert to fraction form
    12,514.49/18,698.22 = 12,078.40/x
  3. Step 3: Cross multiply
    12,514.49x = 18,698.22 × 12,078.40
  4. Step 4: Simplify right side
    12,514.49x = 225,844,580.45
  5. Step 5: Solve for x
    x = 225,844,580.45/12,514.49
  6. Step 6: Final answer
    x = 18,046.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.