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Finding the Fourth Proportional to 20,134.70, 30,165.60 and 16,416.80

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Solution

The fourth proportional to 20,134.70, 30,165.60 and 16,416.80 is: 24,595.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,134.70 : 30,165.60 = 16,416.80 : x
  2. Step 2: Convert to fraction form
    20,134.70/30,165.60 = 16,416.80/x
  3. Step 3: Cross multiply
    20,134.70x = 30,165.60 × 16,416.80
  4. Step 4: Simplify right side
    20,134.70x = 495,222,622.08
  5. Step 5: Solve for x
    x = 495,222,622.08/20,134.70
  6. Step 6: Final answer
    x = 24,595.48

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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.