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Finding the Fourth Proportional to 12,824.96, 17,693.69 and 7,517.84

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Solution

The fourth proportional to 12,824.96, 17,693.69 and 7,517.84 is: 10,371.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,824.96 : 17,693.69 = 7,517.84 : x
  2. Step 2: Convert to fraction form
    12,824.96/17,693.69 = 7,517.84/x
  3. Step 3: Cross multiply
    12,824.96x = 17,693.69 × 7,517.84
  4. Step 4: Simplify right side
    12,824.96x = 133,018,204.37
  5. Step 5: Solve for x
    x = 133,018,204.37/12,824.96
  6. Step 6: Final answer
    x = 10,371.83

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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.