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Finding the Fourth Proportional to 12,856.50, 17,741.97 and 7,268.58

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Solution

The fourth proportional to 12,856.50, 17,741.97 and 7,268.58 is: 10,030.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.50 : 17,741.97 = 7,268.58 : x
  2. Step 2: Convert to fraction form
    12,856.50/17,741.97 = 7,268.58/x
  3. Step 3: Cross multiply
    12,856.50x = 17,741.97 × 7,268.58
  4. Step 4: Simplify right side
    12,856.50x = 128,958,928.30
  5. Step 5: Solve for x
    x = 128,958,928.30/12,856.50
  6. Step 6: Final answer
    x = 10,030.64

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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.