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Finding the Fourth Proportional to 20,453.10, 30,697.65 and 12,122.70

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Solution

The fourth proportional to 20,453.10, 30,697.65 and 12,122.70 is: 18,194.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,453.10 : 30,697.65 = 12,122.70 : x
  2. Step 2: Convert to fraction form
    20,453.10/30,697.65 = 12,122.70/x
  3. Step 3: Cross multiply
    20,453.10x = 30,697.65 × 12,122.70
  4. Step 4: Simplify right side
    20,453.10x = 372,138,401.66
  5. Step 5: Solve for x
    x = 372,138,401.66/20,453.10
  6. Step 6: Final answer
    x = 18,194.72

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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.