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Finding the Fourth Proportional to 12,506.17, 17,257.87 and 6,839.82

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Solution

The fourth proportional to 12,506.17, 17,257.87 and 6,839.82 is: 9,438.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.17 : 17,257.87 = 6,839.82 : x
  2. Step 2: Convert to fraction form
    12,506.17/17,257.87 = 6,839.82/x
  3. Step 3: Cross multiply
    12,506.17x = 17,257.87 × 6,839.82
  4. Step 4: Simplify right side
    12,506.17x = 118,040,668.22
  5. Step 5: Solve for x
    x = 118,040,668.22/12,506.17
  6. Step 6: Final answer
    x = 9,438.59

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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.