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Finding the Fourth Proportional to 13,004.96, 19,515.94 and 5,214.38

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Solution

The fourth proportional to 13,004.96, 19,515.94 and 5,214.38 is: 7,824.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004.96 : 19,515.94 = 5,214.38 : x
  2. Step 2: Convert to fraction form
    13,004.96/19,515.94 = 5,214.38/x
  3. Step 3: Cross multiply
    13,004.96x = 19,515.94 × 5,214.38
  4. Step 4: Simplify right side
    13,004.96x = 101,763,416.60
  5. Step 5: Solve for x
    x = 101,763,416.60/13,004.96
  6. Step 6: Final answer
    x = 7,824.97

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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.