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Finding the Fourth Proportional to 20,273.87, 30,416.36 and 9,752.69

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Solution

The fourth proportional to 20,273.87, 30,416.36 and 9,752.69 is: 14,631.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,273.87 : 30,416.36 = 9,752.69 : x
  2. Step 2: Convert to fraction form
    20,273.87/30,416.36 = 9,752.69/x
  3. Step 3: Cross multiply
    20,273.87x = 30,416.36 × 9,752.69
  4. Step 4: Simplify right side
    20,273.87x = 296,641,330.01
  5. Step 5: Solve for x
    x = 296,641,330.01/20,273.87
  6. Step 6: Final answer
    x = 14,631.71

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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.