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Finding the Fourth Proportional to 20,878.31, 31,319.40 and 6,838.44

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Solution

The fourth proportional to 20,878.31, 31,319.40 and 6,838.44 is: 10,258.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,878.31 : 31,319.40 = 6,838.44 : x
  2. Step 2: Convert to fraction form
    20,878.31/31,319.40 = 6,838.44/x
  3. Step 3: Cross multiply
    20,878.31x = 31,319.40 × 6,838.44
  4. Step 4: Simplify right side
    20,878.31x = 214,175,837.74
  5. Step 5: Solve for x
    x = 214,175,837.74/20,878.31
  6. Step 6: Final answer
    x = 10,258.30

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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.