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Finding the Fourth Proportional to 26,884.80, 40,325.52 and 8,164.80

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Solution

The fourth proportional to 26,884.80, 40,325.52 and 8,164.80 is: 12,246.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,884.80 : 40,325.52 = 8,164.80 : x
  2. Step 2: Convert to fraction form
    26,884.80/40,325.52 = 8,164.80/x
  3. Step 3: Cross multiply
    26,884.80x = 40,325.52 × 8,164.80
  4. Step 4: Simplify right side
    26,884.80x = 329,249,805.70
  5. Step 5: Solve for x
    x = 329,249,805.70/26,884.80
  6. Step 6: Final answer
    x = 12,246.69

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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.