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Finding the Fourth Proportional to 12,716.40, 17,537.22 and 8,235.48

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Solution

The fourth proportional to 12,716.40, 17,537.22 and 8,235.48 is: 11,357.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716.40 : 17,537.22 = 8,235.48 : x
  2. Step 2: Convert to fraction form
    12,716.40/17,537.22 = 8,235.48/x
  3. Step 3: Cross multiply
    12,716.40x = 17,537.22 × 8,235.48
  4. Step 4: Simplify right side
    12,716.40x = 144,427,424.57
  5. Step 5: Solve for x
    x = 144,427,424.57/12,716.40
  6. Step 6: Final answer
    x = 11,357.57

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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.