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Finding the Fourth Proportional to 13,548.96, 20,318.72 and 6,882.86

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Solution

The fourth proportional to 13,548.96, 20,318.72 and 6,882.86 is: 10,321.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,548.96 : 20,318.72 = 6,882.86 : x
  2. Step 2: Convert to fraction form
    13,548.96/20,318.72 = 6,882.86/x
  3. Step 3: Cross multiply
    13,548.96x = 20,318.72 × 6,882.86
  4. Step 4: Simplify right side
    13,548.96x = 139,850,905.14
  5. Step 5: Solve for x
    x = 139,850,905.14/13,548.96
  6. Step 6: Final answer
    x = 10,321.89

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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.