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Finding the Fourth Proportional to 20,129.70, 30,158.10 and 16,411.80

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Solution

The fourth proportional to 20,129.70, 30,158.10 and 16,411.80 is: 24,587.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,129.70 : 30,158.10 = 16,411.80 : x
  2. Step 2: Convert to fraction form
    20,129.70/30,158.10 = 16,411.80/x
  3. Step 3: Cross multiply
    20,129.70x = 30,158.10 × 16,411.80
  4. Step 4: Simplify right side
    20,129.70x = 494,948,705.58
  5. Step 5: Solve for x
    x = 494,948,705.58/20,129.70
  6. Step 6: Final answer
    x = 24,587.98

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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.