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Finding the Fourth Proportional to 20,524.69, 30,787.34 and 13,549.38

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Solution

The fourth proportional to 20,524.69, 30,787.34 and 13,549.38 is: 20,324.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,524.69 : 30,787.34 = 13,549.38 : x
  2. Step 2: Convert to fraction form
    20,524.69/30,787.34 = 13,549.38/x
  3. Step 3: Cross multiply
    20,524.69x = 30,787.34 × 13,549.38
  4. Step 4: Simplify right side
    20,524.69x = 417,149,261.87
  5. Step 5: Solve for x
    x = 417,149,261.87/20,524.69
  6. Step 6: Final answer
    x = 20,324.26

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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.