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Finding the Fourth Proportional to 20,527.74, 30,793.68 and 7,385.22

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Solution

The fourth proportional to 20,527.74, 30,793.68 and 7,385.22 is: 11,078.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,527.74 : 30,793.68 = 7,385.22 : x
  2. Step 2: Convert to fraction form
    20,527.74/30,793.68 = 7,385.22/x
  3. Step 3: Cross multiply
    20,527.74x = 30,793.68 × 7,385.22
  4. Step 4: Simplify right side
    20,527.74x = 227,418,101.41
  5. Step 5: Solve for x
    x = 227,418,101.41/20,527.74
  6. Step 6: Final answer
    x = 11,078.57

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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.