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Finding the Fourth Proportional to 12,856.82, 17,743.73 and 7,821.40

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Solution

The fourth proportional to 12,856.82, 17,743.73 and 7,821.40 is: 10,794.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.82 : 17,743.73 = 7,821.40 : x
  2. Step 2: Convert to fraction form
    12,856.82/17,743.73 = 7,821.40/x
  3. Step 3: Cross multiply
    12,856.82x = 17,743.73 × 7,821.40
  4. Step 4: Simplify right side
    12,856.82x = 138,780,809.82
  5. Step 5: Solve for x
    x = 138,780,809.82/12,856.82
  6. Step 6: Final answer
    x = 10,794.33

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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.