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Finding the Fourth Proportional to 12,375.63, 17,078.49 and 6,998.36

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Solution

The fourth proportional to 12,375.63, 17,078.49 and 6,998.36 is: 9,657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,375.63 : 17,078.49 = 6,998.36 : x
  2. Step 2: Convert to fraction form
    12,375.63/17,078.49 = 6,998.36/x
  3. Step 3: Cross multiply
    12,375.63x = 17,078.49 × 6,998.36
  4. Step 4: Simplify right side
    12,375.63x = 119,521,335.88
  5. Step 5: Solve for x
    x = 119,521,335.88/12,375.63
  6. Step 6: Final answer
    x = 9,657.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.