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Finding the Fourth Proportional to 20,878.78, 31,302.09 and 6,830.29

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Solution

The fourth proportional to 20,878.78, 31,302.09 and 6,830.29 is: 10,240.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,878.78 : 31,302.09 = 6,830.29 : x
  2. Step 2: Convert to fraction form
    20,878.78/31,302.09 = 6,830.29/x
  3. Step 3: Cross multiply
    20,878.78x = 31,302.09 × 6,830.29
  4. Step 4: Simplify right side
    20,878.78x = 213,802,352.31
  5. Step 5: Solve for x
    x = 213,802,352.31/20,878.78
  6. Step 6: Final answer
    x = 10,240.17

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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.