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Finding the Fourth Proportional to 20,156.36, 27,806.10 and 17,357

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Solution

The fourth proportional to 20,156.36, 27,806.10 and 17,357 is: 23,944.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,156.36 : 27,806.10 = 17,357 : x
  2. Step 2: Convert to fraction form
    20,156.36/27,806.10 = 17,357/x
  3. Step 3: Cross multiply
    20,156.36x = 27,806.10 × 17,357
  4. Step 4: Simplify right side
    20,156.36x = 482,630,477.70
  5. Step 5: Solve for x
    x = 482,630,477.70/20,156.36
  6. Step 6: Final answer
    x = 23,944.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.