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Finding the Fourth Proportional to 13,714.14, 20,571.21 and 3,325.89

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Solution

The fourth proportional to 13,714.14, 20,571.21 and 3,325.89 is: 4,988.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.14 : 20,571.21 = 3,325.89 : x
  2. Step 2: Convert to fraction form
    13,714.14/20,571.21 = 3,325.89/x
  3. Step 3: Cross multiply
    13,714.14x = 20,571.21 × 3,325.89
  4. Step 4: Simplify right side
    13,714.14x = 68,417,581.63
  5. Step 5: Solve for x
    x = 68,417,581.63/13,714.14
  6. Step 6: Final answer
    x = 4,988.84

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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.