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Finding the Fourth Proportional to 20,204, 27,909.04 and 19,219.68

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Solution

The fourth proportional to 20,204, 27,909.04 and 19,219.68 is: 26,549.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,204 : 27,909.04 = 19,219.68 : x
  2. Step 2: Convert to fraction form
    20,204/27,909.04 = 19,219.68/x
  3. Step 3: Cross multiply
    20,204x = 27,909.04 × 19,219.68
  4. Step 4: Simplify right side
    20,204x = 536,402,817.91
  5. Step 5: Solve for x
    x = 536,402,817.91/20,204
  6. Step 6: Final answer
    x = 26,549.34

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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.