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Finding the Fourth Proportional to 13,409.68, 20,116.32 and 5,092.80

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Solution

The fourth proportional to 13,409.68, 20,116.32 and 5,092.80 is: 7,639.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.68 : 20,116.32 = 5,092.80 : x
  2. Step 2: Convert to fraction form
    13,409.68/20,116.32 = 5,092.80/x
  3. Step 3: Cross multiply
    13,409.68x = 20,116.32 × 5,092.80
  4. Step 4: Simplify right side
    13,409.68x = 102,448,394.50
  5. Step 5: Solve for x
    x = 102,448,394.50/13,409.68
  6. Step 6: Final answer
    x = 7,639.88

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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.