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Finding the Fourth Proportional to 25,647.24, 38,467 and 8,114.79

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Solution

The fourth proportional to 25,647.24, 38,467 and 8,114.79 is: 12,170.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,647.24 : 38,467 = 8,114.79 : x
  2. Step 2: Convert to fraction form
    25,647.24/38,467 = 8,114.79/x
  3. Step 3: Cross multiply
    25,647.24x = 38,467 × 8,114.79
  4. Step 4: Simplify right side
    25,647.24x = 312,151,626.93
  5. Step 5: Solve for x
    x = 312,151,626.93/25,647.24
  6. Step 6: Final answer
    x = 12,170.96

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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.