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Finding the Fourth Proportional to 20,158.02, 30,193.02 and 14,296.86

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Solution

The fourth proportional to 20,158.02, 30,193.02 and 14,296.86 is: 21,414.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,158.02 : 30,193.02 = 14,296.86 : x
  2. Step 2: Convert to fraction form
    20,158.02/30,193.02 = 14,296.86/x
  3. Step 3: Cross multiply
    20,158.02x = 30,193.02 × 14,296.86
  4. Step 4: Simplify right side
    20,158.02x = 431,665,379.92
  5. Step 5: Solve for x
    x = 431,665,379.92/20,158.02
  6. Step 6: Final answer
    x = 21,414.08

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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.