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Finding the Fourth Proportional to 22,786.51, 31,436.62 and 14,273.82

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Solution

The fourth proportional to 22,786.51, 31,436.62 and 14,273.82 is: 19,692.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,786.51 : 31,436.62 = 14,273.82 : x
  2. Step 2: Convert to fraction form
    22,786.51/31,436.62 = 14,273.82/x
  3. Step 3: Cross multiply
    22,786.51x = 31,436.62 × 14,273.82
  4. Step 4: Simplify right side
    22,786.51x = 448,720,655.29
  5. Step 5: Solve for x
    x = 448,720,655.29/22,786.51
  6. Step 6: Final answer
    x = 19,692.38

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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.