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Finding the Fourth Proportional to 18,766.91, 25,898.13 and 10,269.20

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Solution

The fourth proportional to 18,766.91, 25,898.13 and 10,269.20 is: 14,171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,766.91 : 25,898.13 = 10,269.20 : x
  2. Step 2: Convert to fraction form
    18,766.91/25,898.13 = 10,269.20/x
  3. Step 3: Cross multiply
    18,766.91x = 25,898.13 × 10,269.20
  4. Step 4: Simplify right side
    18,766.91x = 265,953,076.60
  5. Step 5: Solve for x
    x = 265,953,076.60/18,766.91
  6. Step 6: Final answer
    x = 14,171.38

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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.