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Finding the Fourth Proportional to 13,634.48, 20,447.37 and 5,312.48

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Solution

The fourth proportional to 13,634.48, 20,447.37 and 5,312.48 is: 7,967.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,634.48 : 20,447.37 = 5,312.48 : x
  2. Step 2: Convert to fraction form
    13,634.48/20,447.37 = 5,312.48/x
  3. Step 3: Cross multiply
    13,634.48x = 20,447.37 × 5,312.48
  4. Step 4: Simplify right side
    13,634.48x = 108,626,141.94
  5. Step 5: Solve for x
    x = 108,626,141.94/13,634.48
  6. Step 6: Final answer
    x = 7,967.02

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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.