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Finding the Fourth Proportional to 20,193.12, 30,290.70 and 7,714.22

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Solution

The fourth proportional to 20,193.12, 30,290.70 and 7,714.22 is: 11,571.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,193.12 : 30,290.70 = 7,714.22 : x
  2. Step 2: Convert to fraction form
    20,193.12/30,290.70 = 7,714.22/x
  3. Step 3: Cross multiply
    20,193.12x = 30,290.70 × 7,714.22
  4. Step 4: Simplify right side
    20,193.12x = 233,669,123.75
  5. Step 5: Solve for x
    x = 233,669,123.75/20,193.12
  6. Step 6: Final answer
    x = 11,571.72

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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.