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Finding the Fourth Proportional to 18,542.70, 27,808.65 and 10,226.70

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Solution

The fourth proportional to 18,542.70, 27,808.65 and 10,226.70 is: 15,337.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,542.70 : 27,808.65 = 10,226.70 : x
  2. Step 2: Convert to fraction form
    18,542.70/27,808.65 = 10,226.70/x
  3. Step 3: Cross multiply
    18,542.70x = 27,808.65 × 10,226.70
  4. Step 4: Simplify right side
    18,542.70x = 284,390,720.96
  5. Step 5: Solve for x
    x = 284,390,720.96/18,542.70
  6. Step 6: Final answer
    x = 15,337.07

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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.