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Finding the Fourth Proportional to 18,562.28, 27,808.54 and 9,191.40

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Solution

The fourth proportional to 18,562.28, 27,808.54 and 9,191.40 is: 13,769.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,562.28 : 27,808.54 = 9,191.40 : x
  2. Step 2: Convert to fraction form
    18,562.28/27,808.54 = 9,191.40/x
  3. Step 3: Cross multiply
    18,562.28x = 27,808.54 × 9,191.40
  4. Step 4: Simplify right side
    18,562.28x = 255,599,414.56
  5. Step 5: Solve for x
    x = 255,599,414.56/18,562.28
  6. Step 6: Final answer
    x = 13,769.83

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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.