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Finding the Fourth Proportional to 20,725.42, 31,063.78 and 9,608.71

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Solution

The fourth proportional to 20,725.42, 31,063.78 and 9,608.71 is: 14,401.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,725.42 : 31,063.78 = 9,608.71 : x
  2. Step 2: Convert to fraction form
    20,725.42/31,063.78 = 9,608.71/x
  3. Step 3: Cross multiply
    20,725.42x = 31,063.78 × 9,608.71
  4. Step 4: Simplify right side
    20,725.42x = 298,482,727.82
  5. Step 5: Solve for x
    x = 298,482,727.82/20,725.42
  6. Step 6: Final answer
    x = 14,401.77

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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.