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Finding the Fourth Proportional to 14,546.75, 20,074.52 and 7,922.75

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Solution

The fourth proportional to 14,546.75, 20,074.52 and 7,922.75 is: 10,933.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,546.75 : 20,074.52 = 7,922.75 : x
  2. Step 2: Convert to fraction form
    14,546.75/20,074.52 = 7,922.75/x
  3. Step 3: Cross multiply
    14,546.75x = 20,074.52 × 7,922.75
  4. Step 4: Simplify right side
    14,546.75x = 159,045,363.72
  5. Step 5: Solve for x
    x = 159,045,363.72/14,546.75
  6. Step 6: Final answer
    x = 10,933.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.