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Finding the Fourth Proportional to 13,830.96, 20,749.92 and 3,971.10

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Solution

The fourth proportional to 13,830.96, 20,749.92 and 3,971.10 is: 5,957.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.96 : 20,749.92 = 3,971.10 : x
  2. Step 2: Convert to fraction form
    13,830.96/20,749.92 = 3,971.10/x
  3. Step 3: Cross multiply
    13,830.96x = 20,749.92 × 3,971.10
  4. Step 4: Simplify right side
    13,830.96x = 82,400,007.31
  5. Step 5: Solve for x
    x = 82,400,007.31/13,830.96
  6. Step 6: Final answer
    x = 5,957.65

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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.