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Finding the Fourth Proportional to 13,735.13, 20,606.78 and 9,740.21

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Solution

The fourth proportional to 13,735.13, 20,606.78 and 9,740.21 is: 14,613.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.13 : 20,606.78 = 9,740.21 : x
  2. Step 2: Convert to fraction form
    13,735.13/20,606.78 = 9,740.21/x
  3. Step 3: Cross multiply
    13,735.13x = 20,606.78 × 9,740.21
  4. Step 4: Simplify right side
    13,735.13x = 200,714,285.94
  5. Step 5: Solve for x
    x = 200,714,285.94/13,735.13
  6. Step 6: Final answer
    x = 14,613.21

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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.