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Finding the Fourth Proportional to 12,527.73, 18,793.22 and 4,204.98

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Solution

The fourth proportional to 12,527.73, 18,793.22 and 4,204.98 is: 6,308.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,527.73 : 18,793.22 = 4,204.98 : x
  2. Step 2: Convert to fraction form
    12,527.73/18,793.22 = 4,204.98/x
  3. Step 3: Cross multiply
    12,527.73x = 18,793.22 × 4,204.98
  4. Step 4: Simplify right side
    12,527.73x = 79,025,093.21
  5. Step 5: Solve for x
    x = 79,025,093.21/12,527.73
  6. Step 6: Final answer
    x = 6,308.01

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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.