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Finding the Fourth Proportional to 26,909.60, 40,364.40 and 8,189.60

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Solution

The fourth proportional to 26,909.60, 40,364.40 and 8,189.60 is: 12,284.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,909.60 : 40,364.40 = 8,189.60 : x
  2. Step 2: Convert to fraction form
    26,909.60/40,364.40 = 8,189.60/x
  3. Step 3: Cross multiply
    26,909.60x = 40,364.40 × 8,189.60
  4. Step 4: Simplify right side
    26,909.60x = 330,568,290.24
  5. Step 5: Solve for x
    x = 330,568,290.24/26,909.60
  6. Step 6: Final answer
    x = 12,284.40

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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.