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Finding the Fourth Proportional to 13,585.52, 20,372.51 and 6,194.68

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Solution

The fourth proportional to 13,585.52, 20,372.51 and 6,194.68 is: 9,289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,585.52 : 20,372.51 = 6,194.68 : x
  2. Step 2: Convert to fraction form
    13,585.52/20,372.51 = 6,194.68/x
  3. Step 3: Cross multiply
    13,585.52x = 20,372.51 × 6,194.68
  4. Step 4: Simplify right side
    13,585.52x = 126,201,144.80
  5. Step 5: Solve for x
    x = 126,201,144.80/13,585.52
  6. Step 6: Final answer
    x = 9,289.38

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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.