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Finding the Fourth Proportional to 13,714.84, 20,564.56 and 4,353.11

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Solution

The fourth proportional to 13,714.84, 20,564.56 and 4,353.11 is: 6,527.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.84 : 20,564.56 = 4,353.11 : x
  2. Step 2: Convert to fraction form
    13,714.84/20,564.56 = 4,353.11/x
  3. Step 3: Cross multiply
    13,714.84x = 20,564.56 × 4,353.11
  4. Step 4: Simplify right side
    13,714.84x = 89,519,791.78
  5. Step 5: Solve for x
    x = 89,519,791.78/13,714.84
  6. Step 6: Final answer
    x = 6,527.22

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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.