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Finding the Fourth Proportional to 19,921.98, 29,876 and 5,878.28

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Solution

The fourth proportional to 19,921.98, 29,876 and 5,878.28 is: 8,815.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,921.98 : 29,876 = 5,878.28 : x
  2. Step 2: Convert to fraction form
    19,921.98/29,876 = 5,878.28/x
  3. Step 3: Cross multiply
    19,921.98x = 29,876 × 5,878.28
  4. Step 4: Simplify right side
    19,921.98x = 175,619,493.28
  5. Step 5: Solve for x
    x = 175,619,493.28/19,921.98
  6. Step 6: Final answer
    x = 8,815.36

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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.