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Finding the Fourth Proportional to 13,813.68, 20,709.24 and 6,422.76

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Solution

The fourth proportional to 13,813.68, 20,709.24 and 6,422.76 is: 9,628.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.68 : 20,709.24 = 6,422.76 : x
  2. Step 2: Convert to fraction form
    13,813.68/20,709.24 = 6,422.76/x
  3. Step 3: Cross multiply
    13,813.68x = 20,709.24 × 6,422.76
  4. Step 4: Simplify right side
    13,813.68x = 133,010,478.30
  5. Step 5: Solve for x
    x = 133,010,478.30/13,813.68
  6. Step 6: Final answer
    x = 9,628.90

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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.