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Finding the Fourth Proportional to 13,414.68, 20,123.82 and 5,097.78

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Solution

The fourth proportional to 13,414.68, 20,123.82 and 5,097.78 is: 7,647.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.68 : 20,123.82 = 5,097.78 : x
  2. Step 2: Convert to fraction form
    13,414.68/20,123.82 = 5,097.78/x
  3. Step 3: Cross multiply
    13,414.68x = 20,123.82 × 5,097.78
  4. Step 4: Simplify right side
    13,414.68x = 102,586,807.12
  5. Step 5: Solve for x
    x = 102,586,807.12/13,414.68
  6. Step 6: Final answer
    x = 7,647.35

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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.