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Finding the Fourth Proportional to 12,381.84, 17,085.96 and 6,791.76

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Solution

The fourth proportional to 12,381.84, 17,085.96 and 6,791.76 is: 9,372.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.84 : 17,085.96 = 6,791.76 : x
  2. Step 2: Convert to fraction form
    12,381.84/17,085.96 = 6,791.76/x
  3. Step 3: Cross multiply
    12,381.84x = 17,085.96 × 6,791.76
  4. Step 4: Simplify right side
    12,381.84x = 116,043,739.69
  5. Step 5: Solve for x
    x = 116,043,739.69/12,381.84
  6. Step 6: Final answer
    x = 9,372.09

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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.