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Finding the Fourth Proportional to 13,512.96, 20,270.22 and 3,653.03

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Solution

The fourth proportional to 13,512.96, 20,270.22 and 3,653.03 is: 5,479.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,512.96 : 20,270.22 = 3,653.03 : x
  2. Step 2: Convert to fraction form
    13,512.96/20,270.22 = 3,653.03/x
  3. Step 3: Cross multiply
    13,512.96x = 20,270.22 × 3,653.03
  4. Step 4: Simplify right side
    13,512.96x = 74,047,758.74
  5. Step 5: Solve for x
    x = 74,047,758.74/13,512.96
  6. Step 6: Final answer
    x = 5,479.76

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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.