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Finding the Fourth Proportional to 13,472.94, 20,207.49 and 3,613.02

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Solution

The fourth proportional to 13,472.94, 20,207.49 and 3,613.02 is: 5,419.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,472.94 : 20,207.49 = 3,613.02 : x
  2. Step 2: Convert to fraction form
    13,472.94/20,207.49 = 3,613.02/x
  3. Step 3: Cross multiply
    13,472.94x = 20,207.49 × 3,613.02
  4. Step 4: Simplify right side
    13,472.94x = 73,010,065.52
  5. Step 5: Solve for x
    x = 73,010,065.52/13,472.94
  6. Step 6: Final answer
    x = 5,419.02

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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.