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Finding the Fourth Proportional to 25,193, 34,766.34 and 14,015

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Solution

The fourth proportional to 25,193, 34,766.34 and 14,015 is: 19,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,193 : 34,766.34 = 14,015 : x
  2. Step 2: Convert to fraction form
    25,193/34,766.34 = 14,015/x
  3. Step 3: Cross multiply
    25,193x = 34,766.34 × 14,015
  4. Step 4: Simplify right side
    25,193x = 487,250,255.10
  5. Step 5: Solve for x
    x = 487,250,255.10/25,193
  6. Step 6: Final answer
    x = 19,340.70

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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.