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Finding the Fourth Proportional to 13,904.30, 20,856.45 and 12,824.30

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Solution

The fourth proportional to 13,904.30, 20,856.45 and 12,824.30 is: 19,236.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,904.30 : 20,856.45 = 12,824.30 : x
  2. Step 2: Convert to fraction form
    13,904.30/20,856.45 = 12,824.30/x
  3. Step 3: Cross multiply
    13,904.30x = 20,856.45 × 12,824.30
  4. Step 4: Simplify right side
    13,904.30x = 267,469,371.74
  5. Step 5: Solve for x
    x = 267,469,371.74/13,904.30
  6. Step 6: Final answer
    x = 19,236.45

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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.