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Finding the Fourth Proportional to 13,414.72, 20,123.64 and 5,101

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Solution

The fourth proportional to 13,414.72, 20,123.64 and 5,101 is: 7,652.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.72 : 20,123.64 = 5,101 : x
  2. Step 2: Convert to fraction form
    13,414.72/20,123.64 = 5,101/x
  3. Step 3: Cross multiply
    13,414.72x = 20,123.64 × 5,101
  4. Step 4: Simplify right side
    13,414.72x = 102,650,687.64
  5. Step 5: Solve for x
    x = 102,650,687.64/13,414.72
  6. Step 6: Final answer
    x = 7,652.09

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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.