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Finding the Fourth Proportional to 20,915.90, 31,377.74 and 6,876.71

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Solution

The fourth proportional to 20,915.90, 31,377.74 and 6,876.71 is: 10,316.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,915.90 : 31,377.74 = 6,876.71 : x
  2. Step 2: Convert to fraction form
    20,915.90/31,377.74 = 6,876.71/x
  3. Step 3: Cross multiply
    20,915.90x = 31,377.74 × 6,876.71
  4. Step 4: Simplify right side
    20,915.90x = 215,775,584.05
  5. Step 5: Solve for x
    x = 215,775,584.05/20,915.90
  6. Step 6: Final answer
    x = 10,316.34

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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.