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Finding the Fourth Proportional to 20,924.00, 31,388.06 and 6,878.33

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Solution

The fourth proportional to 20,924.00, 31,388.06 and 6,878.33 is: 10,318.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,924.00 : 31,388.06 = 6,878.33 : x
  2. Step 2: Convert to fraction form
    20,924.00/31,388.06 = 6,878.33/x
  3. Step 3: Cross multiply
    20,924.00x = 31,388.06 × 6,878.33
  4. Step 4: Simplify right side
    20,924.00x = 215,897,277.80
  5. Step 5: Solve for x
    x = 215,897,277.80/20,924.00
  6. Step 6: Final answer
    x = 10,318.17

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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.