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Finding the Fourth Proportional to 13,840.08, 20,771.19 and 7,270.14

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Solution

The fourth proportional to 13,840.08, 20,771.19 and 7,270.14 is: 10,911.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840.08 : 20,771.19 = 7,270.14 : x
  2. Step 2: Convert to fraction form
    13,840.08/20,771.19 = 7,270.14/x
  3. Step 3: Cross multiply
    13,840.08x = 20,771.19 × 7,270.14
  4. Step 4: Simplify right side
    13,840.08x = 151,009,459.27
  5. Step 5: Solve for x
    x = 151,009,459.27/13,840.08
  6. Step 6: Final answer
    x = 10,911.03

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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.