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Finding the Fourth Proportional to 10,838.60, 16,238.46 and 10,255.40

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Solution

The fourth proportional to 10,838.60, 16,238.46 and 10,255.40 is: 15,364.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.60 : 16,238.46 = 10,255.40 : x
  2. Step 2: Convert to fraction form
    10,838.60/16,238.46 = 10,255.40/x
  3. Step 3: Cross multiply
    10,838.60x = 16,238.46 × 10,255.40
  4. Step 4: Simplify right side
    10,838.60x = 166,531,902.68
  5. Step 5: Solve for x
    x = 166,531,902.68/10,838.60
  6. Step 6: Final answer
    x = 15,364.71

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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.