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Finding the Fourth Proportional to 20,157.84, 30,203.32 and 12,350.24

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Solution

The fourth proportional to 20,157.84, 30,203.32 and 12,350.24 is: 18,504.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.84 : 30,203.32 = 12,350.24 : x
  2. Step 2: Convert to fraction form
    20,157.84/30,203.32 = 12,350.24/x
  3. Step 3: Cross multiply
    20,157.84x = 30,203.32 × 12,350.24
  4. Step 4: Simplify right side
    20,157.84x = 373,018,250.80
  5. Step 5: Solve for x
    x = 373,018,250.80/20,157.84
  6. Step 6: Final answer
    x = 18,504.87

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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.