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Finding the Fourth Proportional to 27,830.40, 38,408.02 and 17,226.20

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Solution

The fourth proportional to 27,830.40, 38,408.02 and 17,226.20 is: 23,773.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,830.40 : 38,408.02 = 17,226.20 : x
  2. Step 2: Convert to fraction form
    27,830.40/38,408.02 = 17,226.20/x
  3. Step 3: Cross multiply
    27,830.40x = 38,408.02 × 17,226.20
  4. Step 4: Simplify right side
    27,830.40x = 661,624,234.12
  5. Step 5: Solve for x
    x = 661,624,234.12/27,830.40
  6. Step 6: Final answer
    x = 23,773.44

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Why These Related Problems?

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