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Finding the Fourth Proportional to 12,850.25, 17,733.46 and 7,545.15

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Solution

The fourth proportional to 12,850.25, 17,733.46 and 7,545.15 is: 10,412.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,850.25 : 17,733.46 = 7,545.15 : x
  2. Step 2: Convert to fraction form
    12,850.25/17,733.46 = 7,545.15/x
  3. Step 3: Cross multiply
    12,850.25x = 17,733.46 × 7,545.15
  4. Step 4: Simplify right side
    12,850.25x = 133,801,615.72
  5. Step 5: Solve for x
    x = 133,801,615.72/12,850.25
  6. Step 6: Final answer
    x = 10,412.37

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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.