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Finding the Fourth Proportional to 20,809.07, 31,218.22 and 9,709.70

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Solution

The fourth proportional to 20,809.07, 31,218.22 and 9,709.70 is: 14,566.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,809.07 : 31,218.22 = 9,709.70 : x
  2. Step 2: Convert to fraction form
    20,809.07/31,218.22 = 9,709.70/x
  3. Step 3: Cross multiply
    20,809.07x = 31,218.22 × 9,709.70
  4. Step 4: Simplify right side
    20,809.07x = 303,119,525.25
  5. Step 5: Solve for x
    x = 303,119,525.25/20,809.07
  6. Step 6: Final answer
    x = 14,566.71

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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.