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Finding the Fourth Proportional to 12,142.82, 16,759.24 and 11,588.78

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Solution

The fourth proportional to 12,142.82, 16,759.24 and 11,588.78 is: 15,994.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.82 : 16,759.24 = 11,588.78 : x
  2. Step 2: Convert to fraction form
    12,142.82/16,759.24 = 11,588.78/x
  3. Step 3: Cross multiply
    12,142.82x = 16,759.24 × 11,588.78
  4. Step 4: Simplify right side
    12,142.82x = 194,219,145.33
  5. Step 5: Solve for x
    x = 194,219,145.33/12,142.82
  6. Step 6: Final answer
    x = 15,994.57

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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.