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Finding the Fourth Proportional to 20,376.46, 30,567.53 and 9,285.94

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Solution

The fourth proportional to 20,376.46, 30,567.53 and 9,285.94 is: 13,930.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,376.46 : 30,567.53 = 9,285.94 : x
  2. Step 2: Convert to fraction form
    20,376.46/30,567.53 = 9,285.94/x
  3. Step 3: Cross multiply
    20,376.46x = 30,567.53 × 9,285.94
  4. Step 4: Simplify right side
    20,376.46x = 283,848,249.53
  5. Step 5: Solve for x
    x = 283,848,249.53/20,376.46
  6. Step 6: Final answer
    x = 13,930.20

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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.