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Finding the Fourth Proportional to 13,522.79, 20,284.20 and 3,661.80

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Solution

The fourth proportional to 13,522.79, 20,284.20 and 3,661.80 is: 5,492.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,522.79 : 20,284.20 = 3,661.80 : x
  2. Step 2: Convert to fraction form
    13,522.79/20,284.20 = 3,661.80/x
  3. Step 3: Cross multiply
    13,522.79x = 20,284.20 × 3,661.80
  4. Step 4: Simplify right side
    13,522.79x = 74,276,683.56
  5. Step 5: Solve for x
    x = 74,276,683.56/13,522.79
  6. Step 6: Final answer
    x = 5,492.71

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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.