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Finding the Fourth Proportional to 19,453.66, 29,178.06 and 5,414.74

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Solution

The fourth proportional to 19,453.66, 29,178.06 and 5,414.74 is: 8,121.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,453.66 : 29,178.06 = 5,414.74 : x
  2. Step 2: Convert to fraction form
    19,453.66/29,178.06 = 5,414.74/x
  3. Step 3: Cross multiply
    19,453.66x = 29,178.06 × 5,414.74
  4. Step 4: Simplify right side
    19,453.66x = 157,991,608.60
  5. Step 5: Solve for x
    x = 157,991,608.60/19,453.66
  6. Step 6: Final answer
    x = 8,121.43

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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.