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Finding the Fourth Proportional to 13,631.40, 20,403.90 and 9,743.40

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Solution

The fourth proportional to 13,631.40, 20,403.90 and 9,743.40 is: 14,584.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,631.40 : 20,403.90 = 9,743.40 : x
  2. Step 2: Convert to fraction form
    13,631.40/20,403.90 = 9,743.40/x
  3. Step 3: Cross multiply
    13,631.40x = 20,403.90 × 9,743.40
  4. Step 4: Simplify right side
    13,631.40x = 198,803,359.26
  5. Step 5: Solve for x
    x = 198,803,359.26/13,631.40
  6. Step 6: Final answer
    x = 14,584.22

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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.