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Finding the Fourth Proportional to 20,185.52, 27,866.12 and 15,638.09

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Solution

The fourth proportional to 20,185.52, 27,866.12 and 15,638.09 is: 21,588.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,185.52 : 27,866.12 = 15,638.09 : x
  2. Step 2: Convert to fraction form
    20,185.52/27,866.12 = 15,638.09/x
  3. Step 3: Cross multiply
    20,185.52x = 27,866.12 × 15,638.09
  4. Step 4: Simplify right side
    20,185.52x = 435,772,814.32
  5. Step 5: Solve for x
    x = 435,772,814.32/20,185.52
  6. Step 6: Final answer
    x = 21,588.39

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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.