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Finding the Fourth Proportional to 12,856.96, 17,742.12 and 7,268.08

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Solution

The fourth proportional to 12,856.96, 17,742.12 and 7,268.08 is: 10,029.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.96 : 17,742.12 = 7,268.08 : x
  2. Step 2: Convert to fraction form
    12,856.96/17,742.12 = 7,268.08/x
  3. Step 3: Cross multiply
    12,856.96x = 17,742.12 × 7,268.08
  4. Step 4: Simplify right side
    12,856.96x = 128,951,147.53
  5. Step 5: Solve for x
    x = 128,951,147.53/12,856.96
  6. Step 6: Final answer
    x = 10,029.68

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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.