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Finding the Fourth Proportional to 13,634.36, 20,437.74 and 5,309.18

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Solution

The fourth proportional to 13,634.36, 20,437.74 and 5,309.18 is: 7,958.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,634.36 : 20,437.74 = 5,309.18 : x
  2. Step 2: Convert to fraction form
    13,634.36/20,437.74 = 5,309.18/x
  3. Step 3: Cross multiply
    13,634.36x = 20,437.74 × 5,309.18
  4. Step 4: Simplify right side
    13,634.36x = 108,507,640.45
  5. Step 5: Solve for x
    x = 108,507,640.45/13,634.36
  6. Step 6: Final answer
    x = 7,958.40

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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.