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Finding the Fourth Proportional to 13,457.14, 20,186.73 and 4,097.96

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Solution

The fourth proportional to 13,457.14, 20,186.73 and 4,097.96 is: 6,147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,457.14 : 20,186.73 = 4,097.96 : x
  2. Step 2: Convert to fraction form
    13,457.14/20,186.73 = 4,097.96/x
  3. Step 3: Cross multiply
    13,457.14x = 20,186.73 × 4,097.96
  4. Step 4: Simplify right side
    13,457.14x = 82,724,311.14
  5. Step 5: Solve for x
    x = 82,724,311.14/13,457.14
  6. Step 6: Final answer
    x = 6,147.25

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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.