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Finding the Fourth Proportional to 20,135.70, 30,167.10 and 16,417.80

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Solution

The fourth proportional to 20,135.70, 30,167.10 and 16,417.80 is: 24,596.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,135.70 : 30,167.10 = 16,417.80 : x
  2. Step 2: Convert to fraction form
    20,135.70/30,167.10 = 16,417.80/x
  3. Step 3: Cross multiply
    20,135.70x = 30,167.10 × 16,417.80
  4. Step 4: Simplify right side
    20,135.70x = 495,277,414.38
  5. Step 5: Solve for x
    x = 495,277,414.38/20,135.70
  6. Step 6: Final answer
    x = 24,596.98

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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.