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Finding the Fourth Proportional to 21,006.54, 31,508.75 and 7,857.88

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Solution

The fourth proportional to 21,006.54, 31,508.75 and 7,857.88 is: 11,786.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,006.54 : 31,508.75 = 7,857.88 : x
  2. Step 2: Convert to fraction form
    21,006.54/31,508.75 = 7,857.88/x
  3. Step 3: Cross multiply
    21,006.54x = 31,508.75 × 7,857.88
  4. Step 4: Simplify right side
    21,006.54x = 247,591,917.32
  5. Step 5: Solve for x
    x = 247,591,917.32/21,006.54
  6. Step 6: Final answer
    x = 11,786.42

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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.