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Finding the Fourth Proportional to 13,659.84, 20,493 and 5,340.60

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Solution

The fourth proportional to 13,659.84, 20,493 and 5,340.60 is: 8,012.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,659.84 : 20,493 = 5,340.60 : x
  2. Step 2: Convert to fraction form
    13,659.84/20,493 = 5,340.60/x
  3. Step 3: Cross multiply
    13,659.84x = 20,493 × 5,340.60
  4. Step 4: Simplify right side
    13,659.84x = 109,444,915.80
  5. Step 5: Solve for x
    x = 109,444,915.80/13,659.84
  6. Step 6: Final answer
    x = 8,012.17

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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.