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Finding the Fourth Proportional to 21,331.65, 31,998.29 and 8,185.35

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Solution

The fourth proportional to 21,331.65, 31,998.29 and 8,185.35 is: 12,278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,331.65 : 31,998.29 = 8,185.35 : x
  2. Step 2: Convert to fraction form
    21,331.65/31,998.29 = 8,185.35/x
  3. Step 3: Cross multiply
    21,331.65x = 31,998.29 × 8,185.35
  4. Step 4: Simplify right side
    21,331.65x = 261,917,162.12
  5. Step 5: Solve for x
    x = 261,917,162.12/21,331.65
  6. Step 6: Final answer
    x = 12,278.34

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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.