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Finding the Fourth Proportional to 13,830.85, 20,744.89 and 5,508.63

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Solution

The fourth proportional to 13,830.85, 20,744.89 and 5,508.63 is: 8,262.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.85 : 20,744.89 = 5,508.63 : x
  2. Step 2: Convert to fraction form
    13,830.85/20,744.89 = 5,508.63/x
  3. Step 3: Cross multiply
    13,830.85x = 20,744.89 × 5,508.63
  4. Step 4: Simplify right side
    13,830.85x = 114,275,923.40
  5. Step 5: Solve for x
    x = 114,275,923.40/13,830.85
  6. Step 6: Final answer
    x = 8,262.39

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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.