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Finding the Fourth Proportional to 13,932.96, 20,901.54 and 4,071

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Solution

The fourth proportional to 13,932.96, 20,901.54 and 4,071 is: 6,107.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,932.96 : 20,901.54 = 4,071 : x
  2. Step 2: Convert to fraction form
    13,932.96/20,901.54 = 4,071/x
  3. Step 3: Cross multiply
    13,932.96x = 20,901.54 × 4,071
  4. Step 4: Simplify right side
    13,932.96x = 85,090,169.34
  5. Step 5: Solve for x
    x = 85,090,169.34/13,932.96
  6. Step 6: Final answer
    x = 6,107.11

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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.