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Finding the Fourth Proportional to 13,564.67, 20,354.63 and 5,672.97

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Solution

The fourth proportional to 13,564.67, 20,354.63 and 5,672.97 is: 8,512.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.67 : 20,354.63 = 5,672.97 : x
  2. Step 2: Convert to fraction form
    13,564.67/20,354.63 = 5,672.97/x
  3. Step 3: Cross multiply
    13,564.67x = 20,354.63 × 5,672.97
  4. Step 4: Simplify right side
    13,564.67x = 115,471,176.99
  5. Step 5: Solve for x
    x = 115,471,176.99/13,564.67
  6. Step 6: Final answer
    x = 8,512.64

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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.