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Finding the Fourth Proportional to 25,951.60, 38,927.94 and 10,154.44

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Solution

The fourth proportional to 25,951.60, 38,927.94 and 10,154.44 is: 15,231.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,951.60 : 38,927.94 = 10,154.44 : x
  2. Step 2: Convert to fraction form
    25,951.60/38,927.94 = 10,154.44/x
  3. Step 3: Cross multiply
    25,951.60x = 38,927.94 × 10,154.44
  4. Step 4: Simplify right side
    25,951.60x = 395,291,431.05
  5. Step 5: Solve for x
    x = 395,291,431.05/25,951.60
  6. Step 6: Final answer
    x = 15,231.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.