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Finding the Fourth Proportional to 11,697.98, 17,514.77 and 8,878.37

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Solution

The fourth proportional to 11,697.98, 17,514.77 and 8,878.37 is: 13,293.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.98 : 17,514.77 = 8,878.37 : x
  2. Step 2: Convert to fraction form
    11,697.98/17,514.77 = 8,878.37/x
  3. Step 3: Cross multiply
    11,697.98x = 17,514.77 × 8,878.37
  4. Step 4: Simplify right side
    11,697.98x = 155,502,476.56
  5. Step 5: Solve for x
    x = 155,502,476.56/11,697.98
  6. Step 6: Final answer
    x = 13,293.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.