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Finding the Fourth Proportional to 13,809.90, 20,714.85 and 13,233.90

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Solution

The fourth proportional to 13,809.90, 20,714.85 and 13,233.90 is: 19,850.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.90 : 20,714.85 = 13,233.90 : x
  2. Step 2: Convert to fraction form
    13,809.90/20,714.85 = 13,233.90/x
  3. Step 3: Cross multiply
    13,809.90x = 20,714.85 × 13,233.90
  4. Step 4: Simplify right side
    13,809.90x = 274,138,253.42
  5. Step 5: Solve for x
    x = 274,138,253.42/13,809.90
  6. Step 6: Final answer
    x = 19,850.85

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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.