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Finding the Fourth Proportional to 20,524, 30,787.44 and 7,015.36

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Solution

The fourth proportional to 20,524, 30,787.44 and 7,015.36 is: 10,523.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,524 : 30,787.44 = 7,015.36 : x
  2. Step 2: Convert to fraction form
    20,524/30,787.44 = 7,015.36/x
  3. Step 3: Cross multiply
    20,524x = 30,787.44 × 7,015.36
  4. Step 4: Simplify right side
    20,524x = 215,984,975.08
  5. Step 5: Solve for x
    x = 215,984,975.08/20,524
  6. Step 6: Final answer
    x = 10,523.53

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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.