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Finding the Fourth Proportional to 12,618.75, 17,414.48 and 7,029.75

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Solution

The fourth proportional to 12,618.75, 17,414.48 and 7,029.75 is: 9,701.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,618.75 : 17,414.48 = 7,029.75 : x
  2. Step 2: Convert to fraction form
    12,618.75/17,414.48 = 7,029.75/x
  3. Step 3: Cross multiply
    12,618.75x = 17,414.48 × 7,029.75
  4. Step 4: Simplify right side
    12,618.75x = 122,419,405.63
  5. Step 5: Solve for x
    x = 122,419,405.63/12,618.75
  6. Step 6: Final answer
    x = 9,701.39

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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.