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Finding the Fourth Proportional to 13,715.92, 20,573.88 and 3,856.20

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Solution

The fourth proportional to 13,715.92, 20,573.88 and 3,856.20 is: 5,784.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,715.92 : 20,573.88 = 3,856.20 : x
  2. Step 2: Convert to fraction form
    13,715.92/20,573.88 = 3,856.20/x
  3. Step 3: Cross multiply
    13,715.92x = 20,573.88 × 3,856.20
  4. Step 4: Simplify right side
    13,715.92x = 79,336,996.06
  5. Step 5: Solve for x
    x = 79,336,996.06/13,715.92
  6. Step 6: Final answer
    x = 5,784.30

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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.