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Finding the Fourth Proportional to 13,516.93, 20,276.07 and 5,194.02

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Solution

The fourth proportional to 13,516.93, 20,276.07 and 5,194.02 is: 7,791.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,516.93 : 20,276.07 = 5,194.02 : x
  2. Step 2: Convert to fraction form
    13,516.93/20,276.07 = 5,194.02/x
  3. Step 3: Cross multiply
    13,516.93x = 20,276.07 × 5,194.02
  4. Step 4: Simplify right side
    13,516.93x = 105,314,313.10
  5. Step 5: Solve for x
    x = 105,314,313.10/13,516.93
  6. Step 6: Final answer
    x = 7,791.29

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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.