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Finding the Fourth Proportional to 12,856.42, 17,739 and 8,137.97

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Solution

The fourth proportional to 12,856.42, 17,739 and 8,137.97 is: 11,228.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.42 : 17,739 = 8,137.97 : x
  2. Step 2: Convert to fraction form
    12,856.42/17,739 = 8,137.97/x
  3. Step 3: Cross multiply
    12,856.42x = 17,739 × 8,137.97
  4. Step 4: Simplify right side
    12,856.42x = 144,359,427.66
  5. Step 5: Solve for x
    x = 144,359,427.66/12,856.42
  6. Step 6: Final answer
    x = 11,228.59

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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.