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Finding the Fourth Proportional to 13,946.64, 20,913.36 and 8,105.04

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Solution

The fourth proportional to 13,946.64, 20,913.36 and 8,105.04 is: 12,153.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,946.64 : 20,913.36 = 8,105.04 : x
  2. Step 2: Convert to fraction form
    13,946.64/20,913.36 = 8,105.04/x
  3. Step 3: Cross multiply
    13,946.64x = 20,913.36 × 8,105.04
  4. Step 4: Simplify right side
    13,946.64x = 169,503,619.33
  5. Step 5: Solve for x
    x = 169,503,619.33/13,946.64
  6. Step 6: Final answer
    x = 12,153.72

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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.