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Finding the Fourth Proportional to 19,265.50, 28,898.25 and 5,414.50

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Solution

The fourth proportional to 19,265.50, 28,898.25 and 5,414.50 is: 8,121.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,265.50 : 28,898.25 = 5,414.50 : x
  2. Step 2: Convert to fraction form
    19,265.50/28,898.25 = 5,414.50/x
  3. Step 3: Cross multiply
    19,265.50x = 28,898.25 × 5,414.50
  4. Step 4: Simplify right side
    19,265.50x = 156,469,574.63
  5. Step 5: Solve for x
    x = 156,469,574.63/19,265.50
  6. Step 6: Final answer
    x = 8,121.75

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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.