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Finding the Fourth Proportional to 13,486.84, 20,232.42 and 5,696.80

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Solution

The fourth proportional to 13,486.84, 20,232.42 and 5,696.80 is: 8,546.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,486.84 : 20,232.42 = 5,696.80 : x
  2. Step 2: Convert to fraction form
    13,486.84/20,232.42 = 5,696.80/x
  3. Step 3: Cross multiply
    13,486.84x = 20,232.42 × 5,696.80
  4. Step 4: Simplify right side
    13,486.84x = 115,260,050.26
  5. Step 5: Solve for x
    x = 115,260,050.26/13,486.84
  6. Step 6: Final answer
    x = 8,546.11

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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.