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Finding the Fourth Proportional to 18,587.78, 27,857.06 and 13,634.22

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Solution

The fourth proportional to 18,587.78, 27,857.06 and 13,634.22 is: 20,433.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,587.78 : 27,857.06 = 13,634.22 : x
  2. Step 2: Convert to fraction form
    18,587.78/27,857.06 = 13,634.22/x
  3. Step 3: Cross multiply
    18,587.78x = 27,857.06 × 13,634.22
  4. Step 4: Simplify right side
    18,587.78x = 379,809,448.71
  5. Step 5: Solve for x
    x = 379,809,448.71/18,587.78
  6. Step 6: Final answer
    x = 20,433.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.