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Finding the Fourth Proportional to 12,841.68, 19,268.09 and 4,527.64

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Solution

The fourth proportional to 12,841.68, 19,268.09 and 4,527.64 is: 6,793.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841.68 : 19,268.09 = 4,527.64 : x
  2. Step 2: Convert to fraction form
    12,841.68/19,268.09 = 4,527.64/x
  3. Step 3: Cross multiply
    12,841.68x = 19,268.09 × 4,527.64
  4. Step 4: Simplify right side
    12,841.68x = 87,238,856.03
  5. Step 5: Solve for x
    x = 87,238,856.03/12,841.68
  6. Step 6: Final answer
    x = 6,793.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.