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Finding the Fourth Proportional to 13,775.38, 20,662.61 and 5,984.19

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Solution

The fourth proportional to 13,775.38, 20,662.61 and 5,984.19 is: 8,976.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775.38 : 20,662.61 = 5,984.19 : x
  2. Step 2: Convert to fraction form
    13,775.38/20,662.61 = 5,984.19/x
  3. Step 3: Cross multiply
    13,775.38x = 20,662.61 × 5,984.19
  4. Step 4: Simplify right side
    13,775.38x = 123,648,954.21
  5. Step 5: Solve for x
    x = 123,648,954.21/13,775.38
  6. Step 6: Final answer
    x = 8,976.08

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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.