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Finding the Fourth Proportional to 26,909.64, 40,363.08 and 8,189.61

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Solution

The fourth proportional to 26,909.64, 40,363.08 and 8,189.61 is: 12,284.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,909.64 : 40,363.08 = 8,189.61 : x
  2. Step 2: Convert to fraction form
    26,909.64/40,363.08 = 8,189.61/x
  3. Step 3: Cross multiply
    26,909.64x = 40,363.08 × 8,189.61
  4. Step 4: Simplify right side
    26,909.64x = 330,557,883.60
  5. Step 5: Solve for x
    x = 330,557,883.60/26,909.64
  6. Step 6: Final answer
    x = 12,284.00

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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.