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Finding the Fourth Proportional to 13,492.80, 20,229.60 and 5,169.60

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Solution

The fourth proportional to 13,492.80, 20,229.60 and 5,169.60 is: 7,750.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,492.80 : 20,229.60 = 5,169.60 : x
  2. Step 2: Convert to fraction form
    13,492.80/20,229.60 = 5,169.60/x
  3. Step 3: Cross multiply
    13,492.80x = 20,229.60 × 5,169.60
  4. Step 4: Simplify right side
    13,492.80x = 104,578,940.16
  5. Step 5: Solve for x
    x = 104,578,940.16/13,492.80
  6. Step 6: Final answer
    x = 7,750.72

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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.