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Finding the Fourth Proportional to 20,133.70, 30,164.10 and 16,415.80

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Solution

The fourth proportional to 20,133.70, 30,164.10 and 16,415.80 is: 24,593.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,133.70 : 30,164.10 = 16,415.80 : x
  2. Step 2: Convert to fraction form
    20,133.70/30,164.10 = 16,415.80/x
  3. Step 3: Cross multiply
    20,133.70x = 30,164.10 × 16,415.80
  4. Step 4: Simplify right side
    20,133.70x = 495,167,832.78
  5. Step 5: Solve for x
    x = 495,167,832.78/20,133.70
  6. Step 6: Final answer
    x = 24,593.98

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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.