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Finding the Fourth Proportional to 26,720.82, 36,872.96 and 14,783.31

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Solution

The fourth proportional to 26,720.82, 36,872.96 and 14,783.31 is: 20,399.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,720.82 : 36,872.96 = 14,783.31 : x
  2. Step 2: Convert to fraction form
    26,720.82/36,872.96 = 14,783.31/x
  3. Step 3: Cross multiply
    26,720.82x = 36,872.96 × 14,783.31
  4. Step 4: Simplify right side
    26,720.82x = 545,104,324.38
  5. Step 5: Solve for x
    x = 545,104,324.38/26,720.82
  6. Step 6: Final answer
    x = 20,399.98

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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.