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Finding the Fourth Proportional to 18,945.50, 28,414.41 and 6,458.75

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Solution

The fourth proportional to 18,945.50, 28,414.41 and 6,458.75 is: 9,686.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,945.50 : 28,414.41 = 6,458.75 : x
  2. Step 2: Convert to fraction form
    18,945.50/28,414.41 = 6,458.75/x
  3. Step 3: Cross multiply
    18,945.50x = 28,414.41 × 6,458.75
  4. Step 4: Simplify right side
    18,945.50x = 183,521,510.85
  5. Step 5: Solve for x
    x = 183,521,510.85/18,945.50
  6. Step 6: Final answer
    x = 9,686.82

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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.