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Finding the Fourth Proportional to 27,310.40, 40,965.60 and 16,251.20

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Solution

The fourth proportional to 27,310.40, 40,965.60 and 16,251.20 is: 24,376.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,310.40 : 40,965.60 = 16,251.20 : x
  2. Step 2: Convert to fraction form
    27,310.40/40,965.60 = 16,251.20/x
  3. Step 3: Cross multiply
    27,310.40x = 40,965.60 × 16,251.20
  4. Step 4: Simplify right side
    27,310.40x = 665,740,158.72
  5. Step 5: Solve for x
    x = 665,740,158.72/27,310.40
  6. Step 6: Final answer
    x = 24,376.80

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Why These Related Problems?

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