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Finding the Fourth Proportional to 21,243.30, 31,878.81 and 8,095.79

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Solution

The fourth proportional to 21,243.30, 31,878.81 and 8,095.79 is: 12,148.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,243.30 : 31,878.81 = 8,095.79 : x
  2. Step 2: Convert to fraction form
    21,243.30/31,878.81 = 8,095.79/x
  3. Step 3: Cross multiply
    21,243.30x = 31,878.81 × 8,095.79
  4. Step 4: Simplify right side
    21,243.30x = 258,083,991.82
  5. Step 5: Solve for x
    x = 258,083,991.82/21,243.30
  6. Step 6: Final answer
    x = 12,148.96

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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.