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Finding the Fourth Proportional to 12,813.33, 17,682.43 and 7,147.94

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Solution

The fourth proportional to 12,813.33, 17,682.43 and 7,147.94 is: 9,864.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.33 : 17,682.43 = 7,147.94 : x
  2. Step 2: Convert to fraction form
    12,813.33/17,682.43 = 7,147.94/x
  3. Step 3: Cross multiply
    12,813.33x = 17,682.43 × 7,147.94
  4. Step 4: Simplify right side
    12,813.33x = 126,392,842.41
  5. Step 5: Solve for x
    x = 126,392,842.41/12,813.33
  6. Step 6: Final answer
    x = 9,864.17

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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.