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Finding the Fourth Proportional to 20,377.29, 28,097.92 and 12,814.39

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Solution

The fourth proportional to 20,377.29, 28,097.92 and 12,814.39 is: 17,669.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,377.29 : 28,097.92 = 12,814.39 : x
  2. Step 2: Convert to fraction form
    20,377.29/28,097.92 = 12,814.39/x
  3. Step 3: Cross multiply
    20,377.29x = 28,097.92 × 12,814.39
  4. Step 4: Simplify right side
    20,377.29x = 360,057,705.07
  5. Step 5: Solve for x
    x = 360,057,705.07/20,377.29
  6. Step 6: Final answer
    x = 17,669.56

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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.