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Finding the Fourth Proportional to 12,732.26, 17,568.23 and 7,353.45

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Solution

The fourth proportional to 12,732.26, 17,568.23 and 7,353.45 is: 10,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,732.26 : 17,568.23 = 7,353.45 : x
  2. Step 2: Convert to fraction form
    12,732.26/17,568.23 = 7,353.45/x
  3. Step 3: Cross multiply
    12,732.26x = 17,568.23 × 7,353.45
  4. Step 4: Simplify right side
    12,732.26x = 129,187,064.13
  5. Step 5: Solve for x
    x = 129,187,064.13/12,732.26
  6. Step 6: Final answer
    x = 10,146.44

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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.