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Finding the Fourth Proportional to 25,947, 38,942.37 and 14,105.61

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Solution

The fourth proportional to 25,947, 38,942.37 and 14,105.61 is: 21,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,947 : 38,942.37 = 14,105.61 : x
  2. Step 2: Convert to fraction form
    25,947/38,942.37 = 14,105.61/x
  3. Step 3: Cross multiply
    25,947x = 38,942.37 × 14,105.61
  4. Step 4: Simplify right side
    25,947x = 549,305,883.70
  5. Step 5: Solve for x
    x = 549,305,883.70/25,947
  6. Step 6: Final answer
    x = 21,170.30

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