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Finding the Fourth Proportional to 21,293.72, 31,936.46 and 8,143

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Solution

The fourth proportional to 21,293.72, 31,936.46 and 8,143 is: 12,212.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,293.72 : 31,936.46 = 8,143 : x
  2. Step 2: Convert to fraction form
    21,293.72/31,936.46 = 8,143/x
  3. Step 3: Cross multiply
    21,293.72x = 31,936.46 × 8,143
  4. Step 4: Simplify right side
    21,293.72x = 260,058,593.78
  5. Step 5: Solve for x
    x = 260,058,593.78/21,293.72
  6. Step 6: Final answer
    x = 12,212.92

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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.