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Finding the Fourth Proportional to 18,778.20, 25,913.58 and 10,280.12

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Solution

The fourth proportional to 18,778.20, 25,913.58 and 10,280.12 is: 14,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,778.20 : 25,913.58 = 10,280.12 : x
  2. Step 2: Convert to fraction form
    18,778.20/25,913.58 = 10,280.12/x
  3. Step 3: Cross multiply
    18,778.20x = 25,913.58 × 10,280.12
  4. Step 4: Simplify right side
    18,778.20x = 266,394,712.03
  5. Step 5: Solve for x
    x = 266,394,712.03/18,778.20
  6. Step 6: Final answer
    x = 14,186.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.