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Finding the Fourth Proportional to 20,288.46, 30,437.49 and 6,437.46

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Solution

The fourth proportional to 20,288.46, 30,437.49 and 6,437.46 is: 9,657.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,288.46 : 30,437.49 = 6,437.46 : x
  2. Step 2: Convert to fraction form
    20,288.46/30,437.49 = 6,437.46/x
  3. Step 3: Cross multiply
    20,288.46x = 30,437.49 × 6,437.46
  4. Step 4: Simplify right side
    20,288.46x = 195,940,124.38
  5. Step 5: Solve for x
    x = 195,940,124.38/20,288.46
  6. Step 6: Final answer
    x = 9,657.71

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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.