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Finding the Fourth Proportional to 26,553.78, 39,855.29 and 13,415.38

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Solution

The fourth proportional to 26,553.78, 39,855.29 and 13,415.38 is: 20,135.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,553.78 : 39,855.29 = 13,415.38 : x
  2. Step 2: Convert to fraction form
    26,553.78/39,855.29 = 13,415.38/x
  3. Step 3: Cross multiply
    26,553.78x = 39,855.29 × 13,415.38
  4. Step 4: Simplify right side
    26,553.78x = 534,673,693.65
  5. Step 5: Solve for x
    x = 534,673,693.65/26,553.78
  6. Step 6: Final answer
    x = 20,135.50

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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.