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Finding the Fourth Proportional to 13,564.83, 20,354.81 and 7,324.71

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Solution

The fourth proportional to 13,564.83, 20,354.81 and 7,324.71 is: 10,991.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.83 : 20,354.81 = 7,324.71 : x
  2. Step 2: Convert to fraction form
    13,564.83/20,354.81 = 7,324.71/x
  3. Step 3: Cross multiply
    13,564.83x = 20,354.81 × 7,324.71
  4. Step 4: Simplify right side
    13,564.83x = 149,093,043.73
  5. Step 5: Solve for x
    x = 149,093,043.73/13,564.83
  6. Step 6: Final answer
    x = 10,991.15

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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.