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Finding the Fourth Proportional to 14,614.09, 21,927.21 and 8,039.73

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Solution

The fourth proportional to 14,614.09, 21,927.21 and 8,039.73 is: 12,062.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,614.09 : 21,927.21 = 8,039.73 : x
  2. Step 2: Convert to fraction form
    14,614.09/21,927.21 = 8,039.73/x
  3. Step 3: Cross multiply
    14,614.09x = 21,927.21 × 8,039.73
  4. Step 4: Simplify right side
    14,614.09x = 176,288,848.05
  5. Step 5: Solve for x
    x = 176,288,848.05/14,614.09
  6. Step 6: Final answer
    x = 12,062.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.