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Finding the Fourth Proportional to 13,940.72, 20,911.64 and 6,147.76

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Solution

The fourth proportional to 13,940.72, 20,911.64 and 6,147.76 is: 9,221.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940.72 : 20,911.64 = 6,147.76 : x
  2. Step 2: Convert to fraction form
    13,940.72/20,911.64 = 6,147.76/x
  3. Step 3: Cross multiply
    13,940.72x = 20,911.64 × 6,147.76
  4. Step 4: Simplify right side
    13,940.72x = 128,559,743.93
  5. Step 5: Solve for x
    x = 128,559,743.93/13,940.72
  6. Step 6: Final answer
    x = 9,221.89

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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.