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Finding the Fourth Proportional to 12,575.84, 17,353.62 and 7,270.97

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Solution

The fourth proportional to 12,575.84, 17,353.62 and 7,270.97 is: 10,033.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,575.84 : 17,353.62 = 7,270.97 : x
  2. Step 2: Convert to fraction form
    12,575.84/17,353.62 = 7,270.97/x
  3. Step 3: Cross multiply
    12,575.84x = 17,353.62 × 7,270.97
  4. Step 4: Simplify right side
    12,575.84x = 126,177,563.64
  5. Step 5: Solve for x
    x = 126,177,563.64/12,575.84
  6. Step 6: Final answer
    x = 10,033.33

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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.