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Finding the Fourth Proportional to 14,936.76, 20,614.99 and 8,971.72

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Solution

The fourth proportional to 14,936.76, 20,614.99 and 8,971.72 is: 12,382.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,936.76 : 20,614.99 = 8,971.72 : x
  2. Step 2: Convert to fraction form
    14,936.76/20,614.99 = 8,971.72/x
  3. Step 3: Cross multiply
    14,936.76x = 20,614.99 × 8,971.72
  4. Step 4: Simplify right side
    14,936.76x = 184,951,844.12
  5. Step 5: Solve for x
    x = 184,951,844.12/14,936.76
  6. Step 6: Final answer
    x = 12,382.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.